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Kozono Hideo  小薗 英雄

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… Alternative Names

KOZONO Hideo  小薗 英雄

小薗 秀雄  コゾノ ヒデオ

小園 英雄  コゾノ ヒデオ

小薗 英雄  コゾノ ヒデオ

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Researcher Number 00195728
Other IDs
Affiliation (Current) 2025: 早稲田大学, 理工学術院, 教授
2025: 東北大学, 数理科学連携研究センター, 教授
Affiliation (based on the past Project Information) *help 2011 – 2024: 早稲田大学, 理工学術院, 教授
2011 – 2012: 東北大学, 理学(系)研究科(研究院), 教授
2009 – 2010: 東北大学, 大学院・理学研究科, 教授
2009: 東北大, 理学(系)研究科(研究院), 教授
2007: Tohoku University, Graduate School of Science, professor … More
1999 – 2007: Graduate School of Science, Tohoku University, Professor, 大学院・理学研究科, 教授
2005 – 2006: 東北大学, 大学院理学研究科, 教授
2000: Tohoku Univ. Graduate School of Sci., Professor, 大学院理学研究科, 教授
1998: Graduate School of Mathematics, Assoc.Prof., 多元数理科学研究科, 助教授
1998: 名古屋大学, 大学院多元数理科学研究科, 助教授
1995 – 1998: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1997: 名古屋大学, ・大学院・・多元数理科学研究科, 助教授
1993 – 1994: 名古屋大学, 工学部, 助教授
1992: 九州大学, 教養部, 助教授
1988: 名古屋大学, 工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis / Basic analysis / 解析学 / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Mathematical analysis
Except Principal Investigator
解析学 / Global analysis / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis … More / Mathematical analysis / Basic analysis / Geometry / Medium-sized Section 12:Analysis, applied mathematics, and related fields Less
Keywords
Principal Investigator
ナビエ・ストークス方程式 / 調和解析学 / エネルギー不等式 / ベゾフ空間 / オイラー方程式 / 最大正則性定理 / Navier-Stokes 方程式 / 調和ベクトル場 / Navier-Stokes方程式 / 自己相似解 … More / 弱解の一意性 / Keller-Segel 方程式系 / 爆発解 / 外部問題 / L^p-L^q評価 / 最大正則性 / Navier-Stokes Equations / BMO関数 / 特異積分作用素 / 回転流体 / Betti数 / Triebel-Lizorkin空間 / Besov空間 / Leray-Fujita の不等式 / 流量条件 / 情報縮約手法 / 乱流の普遍性 / 非斉次境界値問題 / 関数解析学 / 渦度 / BMO / ソボレフ空間 / ストークス作用素 / ソボレフの不等式 / 調和解析 / 非線形偏微分方程式 / 非粘性極限 / 外部Dirichlet問題 / Hodge分解 / 最大正則定理 / オンサーガー予想 / ベッチ数 / ヘルムホルツ・ワイル分解 / 流れの安定性 / エネルギー保存則 / ウェーブレット展開 / Hadamard 変分公式 / 準特性条件 / 球対称解 / 直接数値シミュレーション / エネルギー等式 / Liouville 型定理 / Lorentz 空間 / 境界層理論 / 有限時間爆発 / Keller-Segel方程式 / 尺度不変空間 / 斉次Besov空間 / 乱流の統計理論 / ディリクレ積分 / リュービル型定理 / ヘルムホルツ-ワイル分解 / 解析的半群 / 作用素の分数べき / プラントル方程式 / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / 一意性 / paraproduct formula / 双線形評価式 / Littlewood-Paley分解 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 大域解 / 平均振動 / 渦度ベクトル / コーシー問題 / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / exterior problem / Lorentz space / Stoker operator / singular integral operation / Fowwer transform / Inter polation space / Sobolur Space / 除去可能と特異点 / 半線形放物形方程式 / 弱解の正則性 / L^r-空間 / 斉次ソボレク空間 / ソボレフ不等式 / ハーディ空間 / 双線形作用素 / 安定性 / 応力テンソル / ストークス方程式 / ローレンツ空間 / クーリエ変換 / 補間空間論 / Dirichlet積分 / 物体を通り過ぎる流れ / Dirichelt積分 / 大きな解の安定性 / 指数安定性 / 領域の位相幾何と可解性 / 外部問題の弱解の一意性 / エネルギースペクトル / 線形応答理論 / ウェーブレット解析 / 乱流の普遍原理 / Euler方程式 / Navier-Stoeks 方程式 / compensated compactness / Keller-Siegel方程式系 / Garding の不等式 / Lax-Milgram の定理 / 周期解 / 指数漸近安定 / Stokes 方程式 / 漸近安定 / 信頼性評価 / 漸近解析 / 大域的適切性 / 強エネルギー不等式 / 局所存在定理 / タイプII型爆発解 / タイプI型爆発解 / keller-Segel系 / 関数方程式 / L^p-L^r-型評価 / 時間大域的弱解 / 偏微分方程式論 / 非線形解析学 / 対数型一様評価 / ソレノイダルベクトル場 / ミレニアム問題 / 軟解 / 乱流 / 除去可能特異点 / 藤田-加藤の原理 / 適切性 / 時間大域解 / 補間定理 / 分数べき / ストークス流 / 伴流領域 / 基本解 / ストレステンソル / エネルギー減衰 / 半研の摂物 / ローレンソ空間 / モレー空間 / 実補間空間 / 特異積分作用系 / 軸間空間論 / 作用素り分数巾 / 作用素の半群 / 関数解析 … More
Except Principal Investigator
熱方程式 / Navier-Stokes方程式 / 適切性 / Besov空間 / Navier-Stokes equation / 非線形偏微分方程式 / 非線形波動方程式 / 初期値問題 / 非線形楕円型方程式 / Euler方程式 / 外部問題 / 安定性 / エネルギー不等式 / ナヴィア・ストークス方程式 / 解の漸近挙動 / 特異摂動 / 初期値問題の適切性 / 修正KdV方程式 / 弱解 / null condition / Besov spaces / Navier-Stokes equations / 漸近安定性 / 正則性 / 半導体素子方程式 / 対数型臨界Sobolev不等式 / 解の正則性条件 / 調和写像流 / Computer assisted proof / 分岐問題 / 解空間の大域的構造 / 熱対流問題 / 計算機援用証明法 / 力学系 / Nonlinear PDE / well-posedness / KdV方程式 / シュレディンガー方程式 / スペクトル理論 / テプリッツ作用素 / 爆発問題 / 最大点挙動 / 爆発集合 / 漸近解析 / 重み付き評価 / 最大関数 / ウェーブレット / ハンケル変換 / 関数解析 / 擬微分作用素 / ハーディ空間 / 特異積分 / 直交級数 / 調和解析 / 実解析 / 臨界型Sobolev不等式 / 変分問題 / 渦面の形 / 流体方程式 / Navier--Stokes方程式 / 微分幾何 / 関数方程式 / 解析的半群 / エネルギー法 / 2次元領域 / 対称性 / 定常解 / 2次元 / Navier-Stokes 方程式 / Critical Nonlinearity / Nonlinear Elliptic Equations / Gauge Theory / 非線形楕円型方程 / 臨界非線形項 / ゲージ理論 / eigenfunction / exterior domain / movement of hot spots / blow-up problem / heat equation / 固有空間 / 拡散方程式 / ノイマン条件 / ディリクレ境界条件 / エントロピー / 固有関数 / 外部領域 / mean curvature flow / Critical Sobolev inequality / Naveir-Stokes equations / nonlinear damped wave equations / Chemotaxis / semiconductor simulation / drift-diffusion equations / nonl-local parabolic equations / 複数Ginzburg-Landau方程式 / 複素Ginzburg-Landau方程式 / Dirac方程式 / ゲージ変換 / Schroedinger写像 / 鉄磁性モデル / 粘性解 / 数値アルゴリズム / 自己相似解 / 圧縮性ナビエ-ストークス方程式 / 走化性粘菌モデル / 臨界密度 / 非局所放物型方程式 / 平均曲率流 / ナビエ-ストークス方程式 / 非線形消散型波動方程式 / 走化粘性菌モデル / 半導体シュミレーション / 移流拡散方程式 / 非局所方物型方程式 / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非相対論的極限 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 非線形シュレディンガー方程式 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 無条件一意性 / 長距離相互作用 / 非線形散乱理論 / 修正KdV / 楕円型作用素 / リトルウッド・ペーリー関数 / ヤコビ級数 / ナビエ・ストークス方程式 / トリーベル・リゾルキン空間 / ベゾフ空間 / シュレーディンガー作用素 / ウェイブレット / マルキンキヴィッチ積分 / 重み付き不等式 / 移植定理 / Bifurcation problems / Nonlinear waves / Dynamical systems / Heat convection problems / Global structure of solution space / Nonlinear partial differential equations / 粘性衝撃波 / 非線形波動 / spike-layered solutions / scattering of spot-like solutions / activator-inhibitor system / blow-up of solutions / collapse of patterns / pattern formation / reaction-diffusion systems / 空間的構造 / 界面 / 領域の境界の曲率 / 半線型楕円型偏微分方程式 / 軌道の極限集合 / 集中現象 / 反応拡散系 / 非常に薄い領域 / 活性因子・抑制因子 / スパイク解 / スポット解の散乱現象 / 活性因子,抑制因子 / 解の爆発 / パターンの崩壊 / パターン形成 / 反応拡散方程式系 / Uniqueness / Regurality / Weak solution / Energy inequality / Energy identity / 一意性 / エネルギー等式 / weak solution / initial value problem / modified KdV equation / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の正則性 / 時間大域解 / 零条件(null condition) / 振動積分 / フーリエ制限空間 / 解の連続依存性 / 周期境界条件 / 修正kdV方程式 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / the critical Sobolev inequality / regularity criterion / well posedness / harmonic heat flow / analytic smoothing effect / nonlinear dispersive equations / Oberbeck-Boussinesq方程式 / Boltzmann方程式 / 非圧縮性粘性流体 / 渦度 / 実解析性 / Serrin条件Besov空間 / 解析的正則化 / 非線形分散型方程式 / Taylor-Couette problem / Heat convection problem / Dynamical system / Bifurcation from degenerate singular points / Global bifurcation structure / 特異摂動的力学系 / Reynolds数,Rayleigh数 / roll,六角形cell / 退化特異点の摂動 / 大域的な分岐構造 / 燃焼合成反応 / 粘性的衝撃波 / 精度保証付き数値計算 / 縮約系の大域的解析 / Taylor問題 / 退化特異点からの分岐 / 大域的分岐構造 / Lp theory / Oberbeck-Boussinesq equation / K-P equation / compressible fluid mechanics / dispersive equations / Schrodinger equations / 解析性 / 輻射気体運動方程式 / オーバーペック・ブシネスリ近似 / 圧縮性粘性流年 / ナビエストークス方程式 / シュレディングー方程式 / 非線形備微分方程式 / L-p理論 / オーバーベック-ブシネスク / KP方程式 / 圧縮性粘性流体 / ナヴィエ-ストークス方程式 / 分散系方程式 / stochastic differential equations / white noise / Cauchy problem / KdV equations / nonlinear wave equations / ヌルゲージ条件 / ゲージ不変性 / 非線型シュレディンガー方程式 / 概大域的存在 / ヘルマンダー予想 / 非線形クライン-ゴルドン方程式 / 零条件 / クライン-ゴルドン-ザハロフ方程式 / 伝播速度の異なる波の相互作用 / ストリッカーツの評価式 / 確率微分方程式 / 確立微分方程式 / ホワイトノイズ / kdv方程式 / Pade approximation for Lagrangian two-time correlation / Phase shift due to wave-turbulence interaction / Beta-plane turbulence / Energy spectrum in two-dimensional turbulence / Lagrangian renormalized approximation (LRA) / Anomalous diffusion in shear flow turbulence / Turbulent diffusion in stably stratified turbulence / Statistical theory of turbulence / ハデ近似 / 鉛直拡散の抑制 / 安定成層乱流 / 2次元乱流のスペクトル / 渦層の微細構造の解析 / 直接数値シミュレーション(DNS) / バデ近似 / ラグランジュ的2時刻相関関数 / 乱流拡散の統計理論 / 一様剪断乱流中の拡散 / β面乱流 / 乱流のラグランジュ的統計理論 / ラグランジュ的2時刻相 / 波と乱流の相互作用による位相変調 / ベータ面乱流 / 次元乱流のエネルギースペクトル / ラグランジュ的繰り込み近似(LRA) / 剪断乱流中の異常拡散 / 安定成層乱流中の乱流拡散 / 乱流の統計理論 / semiclassical limit / random Schrodinger operator / spectral theory / scattering theory / Schrodinger operator / 錯乱理論 / 基本解 / 磁場 / リフシッツ特異性 / トンネル効果 / スヘクトル理論 / 半古典極限 / ランダム・シュレディンガー作用素 / 散乱理論 / シュレディンガー作用素 / Yang-Mills connection / Heat Flow / Yang-Mills接続 / Freholmness / index theorem / Toeplitz operator / Goursat problem / Gevrey index / Borel summability / divegent solution / singular point / ボテル総和 / 特異偏微分方程式 / 不確定度 / ジュブレイ度 / 形式巾級数 / 偏微分作用素 / 形式的巾級数 / フレドホルム性 / 指数定理 / デプリッツ作用素 / グルサ-問題 / ジュブレイ指数 / ボレル総和 / 発散級数 / 特異点 / 偏微分方程式論 / 超局所解析 / 超関数 / ハミルトン系 / 非線形楕円形方程式 / 解析学 / ミニマックス法 / 特異摂動問題 / 凸性 / 等高面 / 高次漸近展開 / 最大点集合 / 解の形状 / 最適減衰評価 / O.D.E.型解 / 非線形放物型方程式系 / 放物型凸性 / 動的境界条件 / 放物型凸 / 形状解析 / 放物型方程式 / 直交関数 / フーリエ乗子 / 交換子作用素 / 変動指数ルベーグ空間 / ペーリーの不等式 / ラドン変換 / モデユレーション空間 / シャッテン族 / 時間周波数解析 / フレーム / 重み付き関数空間 / ハウスドルフ作用素 / シャッテンクラス / モデュレーション空間 / ハーディー空間 / 関数空間 / 不変多様体 / 双曲放物連立系 / 非斉次Besov空間 / Benjamin-Ono方程式 / 分散型方程式 / 放物形方程式 / ヤングミルズ場 / 帯電した界面 / 非線形ダイナミックス / 3次元化されたBirkoff-Rottの式 / 特異性の発現 / 形の発展 / 自発的な解析性の破れ / 3次元的渦運動 / 部分因子環 / fusion rule / sector理論 / dual principalグラフ / principalグラフ / Jones指数理論 Less
  • Research Projects

    (39 results)
  • Research Products

    (222 results)
  • Co-Researchers

    (124 People)
  •  Mathematical Theory of Partial Differential Equations in Fluid MechanicsPrincipal Investigator

    • Principal Investigator
      小薗 英雄
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Waseda University
  •  Modern Mathematical Analysis for the Fluid Dynamics

    • Principal Investigator
      清水 扇丈
    • Project Period (FY)
      2018 – 2024
    • Research Category
      Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Kyoto University
  •  New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamicsPrincipal Investigator

    • Principal Investigator
      Kozono Hideo
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Mathematical analysis
    • Research Institution
      Waseda University
  •  Variational study of nonlinear elliptic problems

    • Principal Investigator
      Tanaka Kazunaga
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Waseda University
  •  Research of Navier-Stokes equations in undounded domains by real analysis and the energy method

    • Principal Investigator
      Yamazaki Masao
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Waseda University
  •  Mathematical Theory of turbulence by the method of modern analysis and computational sciencePrincipal Investigator

    • Principal Investigator
      KOZONO HIDEO
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  New development of the theory on turbulence via method of nonlinear partial differential equationsPrincipal Investigator

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
  •  Geometric properties and asymptotic behavior of solutions of diffusion equations

    • Principal Investigator
      Ishige Kazuhiro
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Theory of global well-posedness on the nonlinear partial differential equationsPrincipal Investigator

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      Tohoku University
  •  Harmonic analysis by real variable methods and its applications

    • Principal Investigator
      MIYACHI Akihiko
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Studies on construction of solutions of nonlinear elliptic equations arising from Gaugetheories and on the asymptotic behavior of their heat flows

    • Principal Investigator
      TAKAHASHI Futoshi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka City University
  •  United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equationsPrincipal Investigator

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      2003 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
      Tohoku University
  •  Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
      Kyushu University
  •  Asymptotic behavior of solutions for some diffusive equations and its applications

    • Principal Investigator
      ISHIGE Kazuhiro
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
      Nagoya University
  •  Applied Analysis for Nonlinear Systems

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  特異積分とその応用

    • Principal Investigator
      宮地 晶彦
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  非線形偏微分方程式の適切性に関する統一理論の構築Principal Investigator

    • Principal Investigator
      小薗 英雄
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  粘性流体と分散型非線形方程式研究に関する日韓国際共同研究

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential Equations

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations

    • Principal Investigator
      NAGASAWA Takeyuki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      TOHOKU UNIVERSITY
  •  非圧縮性粘性流体の基礎方程式の研究Principal Investigator

    • Principal Investigator
      小薗 英雄
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  調和解析学と非線形偏微分方程式の融合を目指してPrincipal Investigator

    • Principal Investigator
      小薗 英雄
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Global analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  Variational Problems in Differential Geometry

    • Principal Investigator
      NAITO Hisashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Spectral and Scattering Theory for Schrodinger Operators

    • Principal Investigator
      NAKAMURA Shu
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  Research on well-posedness for the Navier-Stokes equationsPrincipal Investigator

    • Principal Investigator
      KOZONO Hideo
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      解析学
    • Research Institution
      Tohoku University
      Nagoya University
  •  Development and verification of analytical and statistical theory of turbulence

    • Principal Investigator
      KANEDA Yukio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
      The University of Tokyo
  •  Research for the Lp theory of the solutions to nonlinear partial differential equations

    • Principal Investigator
      OGAWA Takayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
      Nagoya University
  •  微分幾何学における変分問題の解析的側面の研究

    • Principal Investigator
      NAITO Hisashi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  流体中の不連続面の形の発展に関する解析的及び数値的研究

    • Principal Investigator
      金田 行雄
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  On Gevrey property and asymptotic analysis for divergent solutions of analytic partial differential equations

    • Principal Investigator
      MIYAKE Masatake
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  外部領域におけるナビエ・ストークス方程式の数理解析Principal Investigator

    • Principal Investigator
      小園 英雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  ナビエ・ストークス方程式に従う流体中の渦運動の解析的および数値的研究

    • Principal Investigator
      KANEDA Yukio
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  作用素環の指数理論的手法による研究

    • Principal Investigator
      幸崎 秀樹
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  偏微分方程式の解に対する局所理論と超関数論

    • Principal Investigator
      松沢 忠人
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Recent developments of mathematical fluid mechanics, Advances in Mathematical Fluid Mechanics2016

    • Author(s)
      Amann, H., Giga, Y., Kozono, H., Okamoto, H., Yamazaki, M.
    • Total Pages
      482
    • Publisher
      Birkh\''auser-Verlag
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Book] Recent developments of mathematical fluid mechanics2016

    • Author(s)
      Amann, H., Giga, Y., Kozono, H., Okamoto, K., Yamazaki, M.
    • Total Pages
      482
    • Publisher
      Birkhaeuser
    • ISBN
      9783034809382
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Book] Nonlinear Partial Differential Equations in the Future2007

    • Author(s)
      H. Kozono
    • Total Pages
      303
    • Publisher
      Nippon-Hyoron-sha
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Book] これからの非線形偏微分方程式2007

    • Author(s)
      小薗英雄, 三沢正史, 小川卓克
    • Total Pages
      305
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Book] これからの非線形偏微分方程式第8章『重調和型半線形楕円型方程式の最小エネルギー解の漸近挙動』(高橋太)2007

    • Author(s)
      小薗・小川・三沢(編)
    • Total Pages
      303
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-17540186
  • [Book] Advanced Study of Pure Math "Asymptitic Analysis and Singularities"2007

    • Author(s)
      Y.Tsutsumi, H.Kozono, E.Yanagida, K.Tanaka, T.Ogawe
    • Publisher
      Publ Math. Soc. Japan (Konokuniya)(in press)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Book] これからの非線型偏微分方程式2007

    • Author(s)
      小薗英雄
    • Total Pages
      303
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Book] Advanced Study of Pure Math "Asymptitic Analysis and Singularities"2007

    • Author(s)
      Y.Tsutsumi.H.Kozono, E.Yanagida, K.Tanaka, T.Ogawa
    • Publisher
      Publ Math.Soc.Japan (Konokuniya)(in press)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Book] Nonlinear Partial Differential Equations-New Development2007

    • Author(s)
      H.Kozono, M.Misawa, T.Ogawa
    • Total Pages
      305
    • Publisher
      Nihon Hyoron-sha
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] 3次元L^r -ベクトル場に対するHelmholtz-Weyl分解2024

    • Author(s)
      小薗英雄 清水扇丈 柳澤卓
    • Journal Title

      数学

      Volume: 75 Pages: 1-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Journal Article] Removable time-dependent singularities of solutions to the Stokes equations2023

    • Author(s)
      Kozono, Hideo and Ushikoshi, Erika and Wakabayashi, Fumitaka
    • Journal Title

      Journal of Differential Equations

      Volume: 342 Pages: 472-489

    • DOI

      10.1016/j.jde.2022.10.005

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13439, KAKENHI-PROJECT-21J14366, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-21H04433
  • [Journal Article] Stability of stationary solutions to the Navier-Stokes equations in the Besov space2023

    • Author(s)
      H. Kozono, S. Shimizu
    • Journal Title

      Math. Nachr.

      Volume: to appear Issue: 5 Pages: 1964-1982

    • DOI

      10.1002/mana.202100150

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-21H04433, KAKENHI-PROJECT-23K20804
  • [Journal Article] Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition2023

    • Author(s)
      Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
    • Journal Title

      Journal of Differential Equations

      Volume: 365 Pages: 905-926

    • DOI

      10.1016/j.jde.2023.05.025

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-21H04433
  • [Journal Article] 3次元L^rベクトル場に対するHelmholtz-Weyl分解2023

    • Author(s)
      小薗英雄, 清水扇丈, 柳沢卓
    • Journal Title

      数学(日本数学会編集, 岩波書店発売)

      Volume: 75 (1)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity2023

    • Author(s)
      H. Kozono, P. Kunstmann, S. Shimizu
    • Journal Title

      Annali di Scienze Scuola Normale Superiore

      Volume: to appear

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] A Characterization of harmonic Lr-vector fields in three dimensional exterior domains2022

    • Author(s)
      M. Hieber, H. Kozono, A. Seyfert, S. Shimizu, T. Yanagisawa
    • Journal Title

      J. Geom. Anal.

      Volume: 32 Issue: 7

    • DOI

      10.1007/s12220-022-00938-8

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K03375, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-21H04433, KAKENHI-PROJECT-23K20804
  • [Journal Article] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2022

    • Author(s)
      Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi
    • Journal Title

      Journal of Functional Analysis

      Volume: 282 Issue: 2 Pages: 109289-109289

    • DOI

      10.1016/j.jfa.2021.109289

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-21H04433
  • [Journal Article] The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary2021

    • Author(s)
      Farwig, R., Kozono, H.,Tsuda, K., Wegmann, D.
    • Journal Title

      Nonlinear Anal. Real World Appl.

      Volume: 61 Pages: 103339-103339

    • DOI

      10.1016/j.nonrwa.2021.103339

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains2021

    • Author(s)
      Hieber M., Kozono, H., Seyfert, A., Shimizu.,S., Yanagaisawa,T.
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 60 Issue: 5

    • DOI

      10.1007/s00526-021-02050-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier-Stokes equations2021

    • Author(s)
      H. Kozono, A. Okada, S. Shimizu
    • Journal Title

      J. Evol. Equ.

      Volume: -- Issue: 3 Pages: 3015-3033

    • DOI

      10.1007/s00028-020-00614-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] Lr-Helmholtz-Weyl decomposition for three dimensional exterior domains2021

    • Author(s)
      Hieber M., Kozono, H., Seyfert, A., Shimizu.,S., Yanagaisawa,T.
    • Journal Title

      J. Funct. Anal.

      Volume: 281 Issue: 8 Pages: 109144-109144

    • DOI

      10.1016/j.jfa.2021.109144

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] Preface [Special issue: evolution equations - new perspectives for theory and applications - dedicated to Matthias Hieber]2021

    • Author(s)
      Denk, R., Giga, Y., Kozono, H., Saal, J., Simonett, G.,Titi, E.
    • Journal Title

      J. Evol. Equ.

      Volume: 21 Issue: 3 Pages: 2779-2786

    • DOI

      10.1007/s00028-021-00751-w

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Journal Article] The Helmholtz-Weyl decomposition of Lr vector fields for two dimensional exterior domains2021

    • Author(s)
      M.Hieber, H.Kozono, A.Seyfert, S.Shimizu, T.Yanagisawa
    • Journal Title

      J. Geom. Anal.

      Volume: 31 Issue: 5 Pages: 5146-5165

    • DOI

      10.1007/s12220-020-00473-4

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-18KK0072
  • [Journal Article] Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains2020

    • Author(s)
      Hideo Kozono, Yutaka Terasawa and Yuta Wakasugi
    • Journal Title

      Mahematische Annalen

      Volume: - Issue: 3-4 Pages: 1105-1117

    • DOI

      10.1007/s00208-020-02032-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-18KK0072
  • [Journal Article] A Characterization of Harmonic Lr-Vector Fields in Two-Dimensional Exterior Domains2020

    • Author(s)
      M. Hieber, H. Kozono, A. Seyfert, S. Shimizu, T. Yanagisawa
    • Journal Title

      The Journal of Geometric Analysis

      Volume: Online Issue: 4 Pages: 3742-3759

    • DOI

      10.1007/s12220-019-00216-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-18KK0072
  • [Journal Article] Characterization of initial data in the homgeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations2020

    • Author(s)
      H. Kozono, A. Okada, S. Shimizu
    • Journal Title

      J. Funct. Anal.

      Volume: 278 Issue: 5 Pages: 108390-108390

    • DOI

      10.1016/j.jfa.2019.108390

    • NAID

      120006888266

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H03945
  • [Journal Article] Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid2019

    • Author(s)
      H. Kozono, M. Miura, Y. Sugiyama
    • Journal Title

      J. Differential Equations

      Volume: 267 Issue: 9 Pages: 5410-5492

    • DOI

      10.1016/j.jde.2019.05.035

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339
  • [Journal Article] Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity2019

    • Author(s)
      K. Kaneko, H. Kozono, S. Shimizu
    • Journal Title

      Indiana U. Math. J.

      Volume: 68 Issue: 3 Pages: 857-880

    • DOI

      10.1512/iumj.2019.68.7650

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-16H06339
  • [Journal Article] Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations2019

    • Author(s)
      R.Farwig, H. Kozono, D. Wegmann
    • Journal Title

      Math. Ann.

      Volume: 375 Issue: 3-4 Pages: 949-972

    • DOI

      10.1007/s00208-018-1773-x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339
  • [Journal Article] Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces2019

    • Author(s)
      H. Kozono, S. Shimizu
    • Journal Title

      J. Funct. Anal.

      Volume: 276 Issue: 3 Pages: 896-931

    • DOI

      10.1016/j.jfa.2018.06.006

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-16H06339
  • [Journal Article] Strong solutions of the Navier-Stokes equations with singular data.2018

    • Author(s)
      Kozono, H., Shimizu, S.
    • Journal Title

      Contemp. Math.

      Volume: 710 Pages: 163-173

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Journal Article] Stokes semigroups, strong, weak, and very weak solutions for general domains2018

    • Author(s)
      Reinhard Farwig, Hideo Kozono, Hermann Sohr
    • Journal Title

      Handbook of mathematical analysis in mechanics of viscous fluids, Springer,

      Volume: 1 Pages: 419-459

    • DOI

      10.1007/978-3-319-10151-4_8-1

    • ISBN
      9783319101514
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Journal Article] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2018

    • Author(s)
      H. Kozono, Y. Wakasugi, Y. Terasawa
    • Journal Title

      J. Differential Equations

      Volume: 印刷中 Issue: 4 Pages: 1227-1247

    • DOI

      10.1016/j.jde.2018.03.027

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-16H06339
  • [Journal Article] Navier-Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions.2018

    • Author(s)
      Kozono, H., Shimizu, S.
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 458 Issue: 2 Pages: 1693-1708

    • DOI

      10.1016/j.jmaa.2017.10.048

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-16H03945
  • [Journal Article] Navier-Stokes equations with external forces in time-weighted Besov spaces.2018

    • Author(s)
      Kozono, H., Shimizu, S.
    • Journal Title

      Math. Nach.

      Volume: 291 Issue: 11-12 Pages: 1781-1800

    • DOI

      10.1002/mana.201700078

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-16H03945
  • [Journal Article] A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions2017

    • Author(s)
      H. Kozono, Y. Terasawa and Y. Wakasugi
    • Journal Title

      J. Funct. Anal.

      Volume: 272 Issue: 2 Pages: 804-818

    • DOI

      10.1016/j.jfa.2016.06.019

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15J01600, KAKENHI-PROJECT-16H06339
  • [Journal Article] Decay of Non-Stationary Navier-Stokes Flow with Nonzero Dirichlet Boundary Data2017

    • Author(s)
      Reinhard Farwig, Hideo Kozono, David Wegmann
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 66 Issue: 6 Pages: 2169-2185

    • DOI

      10.1512/iumj.2017.66.6163

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-21H04433
  • [Journal Article] Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions2017

    • Author(s)
      Itsuko Hashimoto, Hideo Kozono
    • Journal Title

      Journal of Differential Equations

      Volume: 262 Issue: 10 Pages: 5133-5159

    • DOI

      10.1016/j.jde.2017.01.020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Journal Article] Hadamard variational formula for eigenvalues of the Stokes equations and its application2017

    • Author(s)
      Shuichi Jimbo, Hideo Kozono, Yoshiaki Teramoto, Erika Ushikoshi
    • Journal Title

      Mathematische Annalen

      Volume: 印刷中 Issue: 1-2 Pages: 877-884

    • DOI

      10.1007/s00208-016-1410-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26800073, KAKENHI-PROJECT-16H06339
  • [Journal Article] Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data2017

    • Author(s)
      Reinhar Farwig, Hideo Kozono, David Wegmanna
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 453 Issue: 1 Pages: 271-286

    • DOI

      10.1016/j.jmaa.2017.03.086

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Journal Article] Existence and uniqueness theorem on mild solutions to the Keller–Segel system coupled with the Navier–Stokes fluid2016

    • Author(s)
      H.Kozono; M.Miurai; Y.Sugiyama
    • Journal Title

      J. Funct. Anal.

      Volume: 270 Issue: 5 Pages: 1663-1683

    • DOI

      10.1016/j.jfa.2015.10.016

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15KT0019, KAKENHI-PROJECT-15K04961, KAKENHI-PROJECT-15J04076, KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-16H06339
  • [Journal Article] 非圧縮性ナビエ・ストークス方程式の定常・非定常流の調和解析的研究2015

    • Author(s)
      小薗英雄
    • Journal Title

      数学

      Volume: 67

    • NAID

      130005893404

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Journal Article] Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force2014

    • Author(s)
      Kozono,H., Mashiko,Y., Takada,R.
    • Journal Title

      J. Evolution Equations

      Volume: 14 Issue: 3 Pages: 565-601

    • DOI

      10.1007/s00028-014-0228-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654032, KAKENHI-PROJECT-25287025, KAKENHI-PROJECT-25887005, KAKENHI-PROJECT-26287021, KAKENHI-PROJECT-24224003
  • [Journal Article] Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality2014

    • Author(s)
      Farwig, R., Kozono, H.
    • Journal Title

      J. Differential Equation

      Volume: 256 Issue: 7 Pages: 2633-2658

    • DOI

      10.1016/j.jde.2014.01.029

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654032, KAKENHI-PROJECT-24224003
  • [Journal Article] Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition2014

    • Author(s)
      Naoya Kanbayashi, Kozono Hideo, Takahiro Okabe
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 409 Issue: 1 Pages: 378-392

    • DOI

      10.1016/j.jmaa.2013.07.016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540156, KAKENHI-PROJECT-24654032, KAKENHI-PROJECT-25800070, KAKENHI-PROJECT-24224003
  • [Journal Article] Hadamard variational formula for the Green's function of the boundary value problem on the Stokes equations2013

    • Author(s)
      Kozono, H., Ushikoshi, E.
    • Journal Title

      Arch. Ration. Mech. Anal.

      Volume: 208 Issue: 3 Pages: 1005-1055

    • DOI

      10.1007/s00205-013-0611-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-25287025
  • [Journal Article] Global compensated compactness theorem for general differential operators of first order2013

    • Author(s)
      Kozono, H., Yanagisawa, T.
    • Journal Title

      Arch. Rational Mech. Anal.

      Volume: 207 Issue: 3 Pages: 879-905

    • DOI

      10.1007/s00205-012-0583-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173, KAKENHI-PROJECT-24654032, KAKENHI-PROJECT-25287025
  • [Journal Article] Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle2013

    • Author(s)
      Heck, H., Kim, H., Kozono, H.
    • Journal Title

      Math. Ann.

      Volume: 356 Issue: 2 Pages: 653-681

    • DOI

      10.1007/s00208-012-0861-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24654032
  • [Journal Article] Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems2013

    • Author(s)
      Kozono, H., Yanagisawa, T.
    • Journal Title

      Manuscripta Math.

      Volume: 141 Issue: 3-4 Pages: 637-662

    • DOI

      10.1007/s00229-012-0586-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173, KAKENHI-PROJECT-25287025
  • [Journal Article] Existence and uniqueness theorem on mild solutions to the Keller-Segel system2012

    • Author(s)
      KOZONO,H., Sugiyama, Y., Wachi, T.,
    • Journal Title

      J. Differential Equations

      Volume: 252 Issue: 2 Pages: 1213-1228

    • DOI

      10.1016/j.jde.2011.08.025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013, KAKENHI-PROJECT-24654043
  • [Journal Article] Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system2012

    • Author(s)
      Kozono,H., Sugiyama,Y., Yahagi,Y.,
    • Journal Title

      J. Differential Equations

      Volume: 253 Issue: 7 Pages: 2295-2313

    • DOI

      10.1016/j.jde.2012.06.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013, KAKENHI-PROJECT-24654043
  • [Journal Article] On the stationary Navier-Stokes flows around a rotating body2012

    • Author(s)
      Heck, H., Kim, H., Kozono, H.,
    • Journal Title

      Manuscripta Math.

      Volume: 138 Issue: 3-4 Pages: 315-345

    • DOI

      10.1007/s00229-011-0494-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] On the stationary Navier-Stokes equations in exterior domains2012

    • Author(s)
      Kim, H., Kozono, H.,
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 395 Issue: 2 Pages: 486-495

    • DOI

      10.1016/j.jmaa.2012.05.039

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24654032
  • [Journal Article] Leray's inequality in general multi-connected domains in R^n2012

    • Author(s)
      H. Kozono, R. Farwig, T. Yanagisawa
    • Journal Title

      Mathematische Annalen(online first)

      Volume: 354 Issue: 1 Pages: 137-145

    • DOI

      10.1007/s00208-011-0716-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540179, KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173
  • [Journal Article] Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence2011

    • Author(s)
      Farwig,R.,Kozono,H., Sohr,H.
    • Journal Title

      Rend. Semin. Mat. Univ. Padova

      Volume: 125 Pages: 51-70

    • DOI

      10.4171/rsmup/125-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class2010

    • Author(s)
      Kozono,H.,Sugiyama,Y.,Takada.R
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 365 Issue: 1 Pages: 60-66

    • DOI

      10.1016/j.jmaa.2009.09.063

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class2010

    • Author(s)
      小薗英雄・杉山由恵・高田了
    • Journal Title

      J.Math.Anal.Appl.

      Volume: 365巻 Pages: 60-66

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Strong solutions to the Keller-Segel system with the weak $L^{¥frac{n}{2}}$ initial data and its application to the blow-up rate2010

    • Author(s)
      小薗英雄・杉山由恵
    • Journal Title

      Math.Nach.

      Volume: 283巻 Pages: 732-751

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Global weak solutions of the Navier-Stokes system with nonzero boundary conditions2010

    • Author(s)
      小薗英雄・R.Farwig,・H.Sohr
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 51巻 Pages: 231-247

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces2009

    • Author(s)
      Kozono,H., Sugiyama,Y
    • Journal Title

      J. Differential Equations

      Volume: 247 Issue: 1 Pages: 1-32

    • DOI

      10.1016/j.jde.2009.03.027

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data2009

    • Author(s)
      Kozono,H.,Yanagisawa,T
    • Journal Title

      Math. Z.

      Volume: 262 Issue: 1 Pages: 27-39

    • DOI

      10.1007/s00209-008-0361-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Global DIV-CURL Lemma in bounded domains in $R^3$2009

    • Author(s)
      Kozono,H.,Yanagisawa,T
    • Journal Title

      Jour. Funct. Anal.

      Volume: 256 Issue: 11 Pages: 3847-3859

    • DOI

      10.1016/j.jfa.2009.01.010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] $L^r$-variational inequality for vector Fields and the Helmholtz-Weyl decomposition in bounded domains2009

    • Author(s)
      Kozono,H.,Yanagisawa,T
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 58 Issue: 4 Pages: 1853-1920

    • DOI

      10.1512/iumj.2009.58.3605

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data2009

    • Author(s)
      Kozono, H., Yanagisawa, T.
    • Journal Title

      Math.Z. 262

      Pages: 27-39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] L^r-variational inequality for vector fields and the Helmholtz-Weyl decomposition in boundeddomains2009

    • Author(s)
      Kozono, H., Yanagisawa, T.
    • Journal Title

      Indiana Univ.Math.J. 58

      Pages: 1853-1920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Global DIV-CURL Lemma in bounded domains in R^32009

    • Author(s)
      Kozono, H, Yanagisawa, T
    • Journal Title

      Jour.Funct. Anal 256

      Pages: 847-3859

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a bounded domain with a multiply connected boundary2009

    • Author(s)
      Kozono,H.,Yanagisawa,T
    • Journal Title

      Pacific Math. J.

      Volume: 243 Issue: 1 Pages: 127-150

    • DOI

      10.2140/pjm.2009.243.127

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Local existence and finite time blow-up in the 2-D Keller-Segel system2008

    • Author(s)
      Kozono,H., Sugiyama,Y.
    • Journal Title

      J. Evol. Equ.

      Volume: 8 Issue: 2 Pages: 353-378

    • DOI

      10.1007/s00028-008-0375-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(R^n)$ and its application to the self-similar solution2008

    • Author(s)
      Kozono,H., Sugiyama,Y
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 57 Issue: 4 Pages: 1467-1500

    • DOI

      10.1512/iumj.2008.57.3316

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO,2008

    • Author(s)
      Kozono,H.,Wadade,H
    • Journal Title

      Math. Z.

      Volume: 259 Issue: 4 Pages: 953-950

    • DOI

      10.1007/s00209-007-0258-5

    • Data Source
      KAKENHI-PROJECT-20224013
  • [Journal Article] On the Helmholtz decomposition in general unbounded domains2007

    • Author(s)
      H. Kozono
    • Journal Title

      Arch. Math 88

      Pages: 239-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] On the Helmholtz decomposition in general unboundeddomains.2007

    • Author(s)
      H. Kozono
    • Journal Title

      Arch. Math. 88

      Pages: 239-248

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Local in time regularity properties of the Navier-Stokes equations2007

    • Author(s)
      H. Kozono
    • Journal Title

      Indiana Univ. Math. J. 56

      Pages: 2111-2132

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data2007

    • Author(s)
      H. Kozono
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 127-150

    • NAID

      10019540575

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Local in time regularity properties of the Navier-Stokes equations.2007

    • Author(s)
      H. Kozono
    • Journal Title

      Indiana Univ. Math. J. 56

      Pages: 2111-2132

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] On the Helmholtz decomposition in general unbounded domains.2007

    • Author(s)
      H. Kozono
    • Journal Title

      Arch. Math 88

      Pages: 239-248

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data.2007

    • Author(s)
      H. Kozono
    • Journal Title

      J. Math. Soc. Japan. 59

      Pages: 127-150

    • NAID

      10019540575

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data.2007

    • Author(s)
      H. Kozono
    • Journal Title

      J. Math. Soc. Japan 59

      Pages: 127-150

    • NAID

      10019540575

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations.2006

    • Author(s)
      Kim, Hyunseok, Kozono, Hideo
    • Journal Title

      J. Differential Equations 220

      Pages: 68-84

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Upper bounds of the best constant of the Trudinger-Moser inequali-ty and its application to the Gagliardo-Nirenberg inequality.2006

    • Author(s)
      Kozono, H., Sato, T., Wadade, H.
    • Journal Title

      Indiana Univ. Math. J. 55

      Pages: 1951-1974

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations2006

    • Author(s)
      H.-S.Kim, H.Kozono
    • Journal Title

      J.Differential Equations 220

      Pages: 68-84

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Upper bound of the best constatn of a Trudinger-Moser inequality and its application to a Gagliardo-Nierenberg inequality2006

    • Author(s)
      H.Kozono, T.Sato, H.Wadade
    • Journal Title

      Indiana Univ.Math.J. 56

      Pages: 1951-1974

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations2006

    • Author(s)
      H.Kim, Hideo Kozono
    • Journal Title

      Journal of Differential Equations 220

      Pages: 68-84

    • Data Source
      KAKENHI-PROJECT-17540186
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations2006

    • Author(s)
      Kim, Hyunseok, Kozono, Hideo
    • Journal Title

      J.Differential Equations 220

      Pages: 68-84

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations2006

    • Author(s)
      H.-S.Kim, H.Kozono
    • Journal Title

      J. Differential Equations 220

      Pages: 68-84

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Upper bound of the best constatn of a Trudinger-Moser inequality and its application to a Gagliardo-Nierenberg inequality2006

    • Author(s)
      H.Kozono, T.Sato, H.Wadade
    • Journal Title

      Indiana Univ. Math. J. 56

      Pages: 1951-1974

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] An L^q approach to Stokes and Navier-Stokes equations in general domains2005

    • Author(s)
      R.Farwig, H.Kozono, H.Sohr
    • Journal Title

      Acta Math. 195

      Pages: 21-53

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      Hideo Kozono, Naoki Yatsu
    • Journal Title

      Math.Z. 246

      Pages: 55-68

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the $3 D$ Navier-Stokes equations2004

    • Author(s)
      Hideo Kozono, N.Yatsu
    • Journal Title

      Math.Z. 246

      Pages: 55-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340035
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      H.Kozono, N.Yatsu
    • Journal Title

      Math. Z. 246

      Pages: 55-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Interior regularity criteria in weak spaces for the Navier-Stokes equations2004

    • Author(s)
      Kim, H., Kozono, H
    • Journal Title

      Manuscripta Math 115

      Pages: 85-100

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Bilinear estiamtes in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations2004

    • Author(s)
      Hideo Kozono, Yukihiro Shimada
    • Journal Title

      Math. Nachr. 276

      Pages: 63-74

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      Kozono., H., Yatsu, N
    • Journal Title

      Math.Z 246

      Pages: 55-68

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations2004

    • Author(s)
      Kozono, H., Shimada, Y
    • Journal Title

      Math.Nach 276

      Pages: 63-74

    • Data Source
      KAKENHI-PROJECT-15104001
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      H.Kozono, N.Yatsu
    • Journal Title

      Math.Z. 246

      Pages: 55-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Interior regularity criteria in weak spaces for the Navier-Stokes equations2004

    • Author(s)
      Hyunseok Kim, Hideo Kozono
    • Journal Title

      Manuscripta Math. 115

      Pages: 85-100

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Bilinear estiamtes in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations,2004

    • Author(s)
      Hideo Kozono, Yukihiro Shimada
    • Journal Title

      Math.Nachr. 276

      Pages: 63-74

    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Bilinear estiamtes in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations2004

    • Author(s)
      Hideo Kozono, Yukihiro Shimada
    • Journal Title

      Math.Nachr. 276

      Pages: 63-74

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations2004

    • Author(s)
      H.Kozono, N.Yatsu
    • Journal Title

      Mathematische Zeitsuchrift Vol.246

      Pages: 55-68

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Interior regularity criteria in weak spaces for the Navier-Stokes equations2004

    • Author(s)
      H.Kim, H.Kozono
    • Journal Title

      Manuscripta Mathematica Vol.115

      Pages: 85-100

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations2004

    • Author(s)
      H.Kozono, Y.Shimada
    • Journal Title

      Mathematische Nachrichten vol.276

      Pages: 63-74

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Interior regularity criteria in weak spaces for the Navier-Stokes equations2004

    • Author(s)
      H.-S.Kim, H.Kozono
    • Journal Title

      Manuscripta Math. 115

      Pages: 85-100

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Extension criterion via two-components of vorticity on strong solutions to the $3 D$ Navier-Stokes equations2004

    • Author(s)
      Hideo Kozono, N.Yatsu
    • Journal Title

      Math.Z. Vol.246

      Pages: 55-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340035
  • [Journal Article] Remark on the paper by S.Dubois "Mild solutions to the Navier- Stokes equations and energy equality"2003

    • Author(s)
      H.Kozono
    • Journal Title

      Differential and Integral Equations 16

      Pages: 583-585

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Navier-Stokes equations in the Besov space near L^∞ and BMO2003

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Kyushu J. Math. 57

      Pages: 303-324

    • NAID

      110001263203

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Navier-Stokes equations in the Besov space near L^∞ and BMO,2003

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Kyushu J.Math. 57

      Pages: 303-324

    • NAID

      110001263203

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] Remark on the paper by S.Dubois "Mild solutions to the Navier-Stokes equations and energy equality"2003

    • Author(s)
      H.Kozono
    • Journal Title

      Differential and Integral Equations 16

      Pages: 583-585

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340056
  • [Journal Article] 乱流の数学的理論2003

    • Author(s)
      小薗 英雄
    • Journal Title

      Parity 18巻

      Pages: 28-35

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Remark on the paper by S.Dubois "Mild solutions to the Navier-Stokes equations and energy equality"2003

    • Author(s)
      Hideo Kozono
    • Journal Title

      Differential and Integral Equations Vol.16

      Pages: 583-585

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Navier-Stokes equations in the Besov space near L^∞ and BMO2003

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Kyushu Journal of Mathematics Vol.57

      Pages: 303-324

    • NAID

      110001263203

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations2002

    • Author(s)
      H.Kozono, T.Ogawa, Y.Taniuchi
    • Journal Title

      Mathematische Zeitschrift Vol.242

      Pages: 251-278

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Asymptotic behaviour and net force the Navier-Stokes flows in exterior domains2002

    • Author(s)
      H.J.Choe, H.Kozono
    • Journal Title

      Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics

      Pages: 28-69

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] Stokes problem for Lipschitz domain2002

    • Author(s)
      H.J.Choe, H.Kozono
    • Journal Title

      Indiana University Mathematics Journal Vol. 51

      Pages: 1235-1260

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] An L^q-approach to Stokes and Navier-Stokes equations in general domains

    • Author(s)
      R.Farwig, Hideo Kozono, H.Sohr
    • Journal Title

      Acta Mathematica (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations

    • Author(s)
      H.Kim, Hideo Kozono
    • Journal Title

      Journal of Differential Equations (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] An L^n-approach to Stokes and Navier-Stokes equations in general domains

    • Author(s)
      R.Farwig, H.Kozono, H.Sohr
    • Journal Title

      Acta Mathematica (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Journal Article] A removable isolated singularity theorem for the stationary Navier-Stokes equations

    • Author(s)
      H.Kim, H.Kozono
    • Journal Title

      Journal of Differential Equation (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14340051
  • [Presentation] Generalized quasi-geostrophic equation in the critical Lorentz-Besov space based on the maximal regularity theorem2023

    • Author(s)
      小薗英雄
    • Organizer
      Jeju Nonlinear PDE conference in honor of Professor Dongho Chae ’s 65th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] 回転する同心円柱間の領域における一般化されたTaylor-Couette流について2023

    • Author(s)
      小薗英雄
    • Organizer
      第105回金沢解析セミナー,金沢大学(2023/6/23)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Liouville type theorem on the generalized Taylor-Couette flow2023

    • Author(s)
      小薗英雄
    • Organizer
      大阪大学数学教室 微分方程式セミナー(2024/1/26)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] $L^r$-Helmholtz-Weyl decomposition in 3D exterior domains and its application to the Navier-Stokes equations2023

    • Author(s)
      Hideo Kozono
    • Organizer
      Analysis, Geometry and Stochastics on Metric Spaces, RIMS(202/9/26)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized Taylor-Couette flow2023

    • Author(s)
      小薗英雄
    • Organizer
      International Confernce on \\ Recent Advances in Nonlinear PDEs and Their Applications in Celebration of the 60th Aniversary of CUHK
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] Liouville type theorem on the generalized Taylor-Couette flow2023

    • Author(s)
      小薗英雄
    • Organizer
      Okayama Workshop on Partial Differential Equations(2023/11/18)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized quasi-geostrophic equation in the critical Lorentz-Besov space based on the maximal regularity theorem2023

    • Author(s)
      小薗英雄
    • Organizer
      East Asian Workshop on PDEs from Kinetics and Continuum Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] 流体の運動--ナビエ・ストークス方程式2023

    • Author(s)
      小薗英雄
    • Organizer
      NHK文化センター現代数学講座,NHKカルチャー青山教室
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] L^r-Helmholtz-Weyl decomposition in 3D exterior domains and its application to the Navier-Stokes equations2023

    • Author(s)
      小薗英雄
    • Organizer
      RIMS 研究集会「Analysis, Geometry and Stochastics on Metric Spaces」
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] 同心円柱間領域におけるgeneralized Taylor-Couette流2023

    • Author(s)
      小薗英雄
    • Organizer
      第9回偏微分方程式レクチャーシリーズ in 福岡工業大学(2023/5/13-14)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized Taylor-Couette flow2023

    • Author(s)
      Hideo Kozono
    • Organizer
      International Confernce on Recent Advances in Nonlinear PDEs and Their Applications in Celebration of the 60th Aniversary of CUHK, The Chinese University of Hong Kong, 香港(2023/10/31)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized Taylor-Couette flow2023

    • Author(s)
      Hideo Kozono
    • Organizer
      Institute of Mathematics, Academia Sinica Taiwan Analysis Seminar, 台湾科学アカデミー(2023/10/17)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] L^r-Helmholtz-Weyl decomposition in 3D exterior domains and its application to the stationary Navier-Stokes equations2023

    • Author(s)
      Hideo Kozono
    • Organizer
      Oberwolfach Seminars 2023 Recent topics on the Navier-Stokes equations, MFO, Germany (2023/10/23-27)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized quasi-geostrophic equation in the critical Lorentz-Besov space based on the maximal regularity theorem2023

    • Author(s)
      小薗英雄
    • Organizer
      Jeju Nonlinear PDE conference in honor of Professor Dongho Chae ’s 65th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] 全空間にNavier-Stokes 方程式のLiouville 型定理2023

    • Author(s)
      小薗英雄
    • Organizer
      第9回偏微分方程式レクチャーシリーズ in 福岡工業大学(2023/5/13-14)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized quasi-geostrophic equation in the critical Lorentz-Besov space based on the maximal regularity theorem2023

    • Author(s)
      Hideo Kozono
    • Organizer
      East Asian Workshop on PDEs from Kinetics and Continuum Mechanics, 東京工業大学(2023/11/28-30)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Generalized quasi-geostrophic equation in the critical Lorentz-Besov space based on the maximal regularity theorem2022

    • Author(s)
      Hideo Kozono
    • Organizer
      Jeju Nonlinear PDE conference in honor of Professor Dongho Chae’s 65th birthday, 済州島, 韓国
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity2022

    • Author(s)
      Hideo Kozono
    • Organizer
      第39回九州における偏微分方程式研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity2022

    • Author(s)
      小薗英雄
    • Organizer
      Nonlinear PDEs in Fluid Dynamics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] On a compatibility condition for the Navier-Stokes solutions in maximal L^r-regularity class2022

    • Author(s)
      Hideo Kozono
    • Organizer
      Mathematical Advances in Geophysical Fluid Dynamics (2246) Mathematisches Forschungsinstitut Oberwolfach, Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity2022

    • Author(s)
      小薗英雄
    • Organizer
      Nonlinear PDEs in Fluid Dynamics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] 最大正則性に基づくパラメータトリックの手法によるナビエ・ストークス方程 式の解の解析性2022

    • Author(s)
      小薗英雄
    • Organizer
      第80 回東京工大数理解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] On a compatibility condition for the Navier-Stokes solutions in maximal Lr -regularity class.2022

    • Author(s)
      小薗英雄
    • Organizer
      Mathematical Advances in Geophysical Fluid Dynamics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Navier-Stokes 方程式のLiouville 型定理とその応用2022

    • Author(s)
      小薗英雄
    • Organizer
      京都大学大学大学院総合人間学部/人間・環境学研究科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] L^r-Helmholtz-Weyl decomposition in 3D exterior domains2022

    • Author(s)
      Hideo Kozono
    • Organizer
      上海交通大学数学教室コロキウム, 上海交通大学, 中国
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] パラメータトリックによるNavier-Stokes 方程式の解の解析性2022

    • Author(s)
      小薗英雄
    • Organizer
      Workshop Critical Exponent and Nonlinear Partial Differential Equations 2022
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Compatibility condition on the Navier-Stokes equations in maximal $L^p$-regularity class2022

    • Author(s)
      小薗英雄
    • Organizer
      広島微分方程式研究会, 広島大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] On a compatibility condition for the Navier-Stokes solutions in maximal Lr -regularity class.2022

    • Author(s)
      小薗英雄
    • Organizer
      Mathematical Advances in Geophysical Fluid Dynamics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] Navier-Stokes 方程式のLiouville型定理とその応用2022

    • Author(s)
      小薗英雄
    • Organizer
      京都大学大学大学院総合人間学部/人間・環境学研究科談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] :Compatibility condition on the Navier-Stokes equations in maximal Lp-regularity class.2022

    • Author(s)
      小薗英雄
    • Organizer
      広島微分方程式研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] 最大正則性に基づくパラメータトリックの手法によるナビエ・ストークス方程式の解の解析性2022

    • Author(s)
      小薗英雄
    • Organizer
      第80回東京工大数理解析セミナー, 東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Lr-Helmholtz-Weyl decomposition in 3D exterior domains2022

    • Author(s)
      小薗英雄
    • Organizer
      上海交通大学 数学教室コロキウム
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H04433
  • [Presentation] Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity2022

    • Author(s)
      Hideo Kozono
    • Organizer
      Nonlinear PDEs in Fluid Dynamics, CIRM, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Besov-Lorentz 空間を基礎とした最大正則性定理によるナビエ・ストークス方程式の強解2022

    • Author(s)
      小薗英雄
    • Organizer
      大阪大学大学院情報科学研究科集中講義
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Lr-Helmholtz-Weyl decomposition in 3D exterior domains2022

    • Author(s)
      小薗英雄
    • Organizer
      上海交通大学 数学教室コロキウム
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Lr-Helmholtz-Weyl decomposition in 3D exterior domains2021

    • Author(s)
      Hideo Kozono
    • Organizer
      北京大学 数学科学学院 連続講義
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Topics on the Navier-Stokes equations -- my joint work with Prof. Reinhard Farwig2021

    • Author(s)
      Hideo Kozono
    • Organizer
      Analysis Day on Fluid Dynamics on the occasion of the retirement of Professor Reinhard Farwig
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Lr-Helmholtz-Weyl decomposition in two dimensional exterior domains2021

    • Author(s)
      Hideo Kozono
    • Organizer
      International Workshop on Recent Advances in Nonlinear Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Lr-Helmholtz-Weyl decomposition in two dimensional exterior domains2021

    • Author(s)
      Hideo Kozono
    • Organizer
      Fudan International Seminar on Analysis, PDEs, and Fluid Mechanics, March 11, 2021, Fudan University (Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations without swirl2021

    • Author(s)
      Hideo Kozono
    • Organizer
      Research Group on Navier-Stokes Equations and Fluid Structure Interaction Seminar in Milano
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] $L^r$-Helmholtz-Weyl decomposition in 2D and 3D exterior domains2020

    • Author(s)
      小薗英雄
    • Organizer
      東北大学数理科学連携研究センターと東京理科大学総合研究院の連携研究協定キックオフミーティング, 東京理科大学神楽坂キャンパス, 2020 年3月4日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] 3次元外部領域における$L^r$-調和ベクトル場とHelmholtz-Weyl分解2020

    • Author(s)
      小薗英雄
    • Organizer
      名古屋大学多元数理科学研究科談話会, 名古屋大学, 2020年1月15日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces (I), (II), (III), (IV), (V)2020

    • Author(s)
      Hideo Kozono
    • Organizer
      北京大学数学科学学院連続講義, 2020年12月4日,11日,18日,25日 (Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with the finite generalized Dirichlet integral2020

    • Author(s)
      Hideo Kozono
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics, December 1-4, 2020, Waseda University (Online)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with the finite generalized Dirichlet integral2019

    • Author(s)
      H. Kozono
    • Organizer
      International Conference Nonlinear Analysis, Palazzone, Scuola Normale Superiore di Pisa, Cortona, Italy 11--14 June 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Lr harmonic vector elds in 2D exterior domains2019

    • Author(s)
      小薗英雄
    • Organizer
      Oberseminar Analysis at TU Darmstadt
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Asymptotic properties of the 2D Navier-Stokes ows2019

    • Author(s)
      Hideo KOZONO
    • Organizer
      XI Workshop on Nonlinear Differential Equations, Varese, Italy,
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Lr-Helmholtz-Weyl decomposition in 3D exterior domains.2019

    • Author(s)
      Hideo KOZONO
    • Organizer
      Evolution Equations: Abstract and Applied Perspectives in Honour of the 60th Birthday of Matthias Hieber, Luminy, CIRM, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] 3次元外部領域における$L^r$-Helmholtz-Weyl 分解(サーベイ講演I,II)2019

    • Author(s)
      小薗英雄
    • Organizer
      日本数学会・函数方程式論分科会 研究集会「微分方程式の総合的研究」, 東京工業大学大岡山キャンパス, 2019年12月21日および22日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] 3次元外部領域における$L^r$-Helmholtz-Weyl 分解2019

    • Author(s)
      小薗英雄
    • Organizer
      神楽坂解析セミナー,東京理科大学数学教室, 2019年7月27日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] $L^r$-Helmholtz-Weyl decomposition in 3D exterior domains2019

    • Author(s)
      H. Kozono
    • Organizer
      RIMS 共同研究(公開型)「流体と気体の数学解析」, 京都大学数理解析研究所, 2019年7月3日-5日
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] 3次元外部領域における$L^r$-Helmholtz-Weyl 分解2019

    • Author(s)
      小薗英雄
    • Organizer
      第26回早稲田大学数学・応用数理談話会, 早稲田大学, 2019年10月24日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Asymptotic properties of the 2D Navier-Stokes flows2019

    • Author(s)
      H. Kozono
    • Organizer
      XI Workshop on Nonlinear Differential Equations, Varese, Italy, July 29th - August 2nd, 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with the nite generalized Dirichlet integral.2019

    • Author(s)
      Hideo KOZONO
    • Organizer
      International Conference Nonlinear Analysis,Scuola Normale Superiore di Pisa,
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] 3次元外部領域におけるLr-Helmholtz-Weyl 分解2019

    • Author(s)
      小薗英雄
    • Organizer
      日本数学会・函数方程式論分科会 研究集会「微分方程式の総合的研究」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] $L^r$-Helmholtz-Weyl decomposition in 3D exterior domains2019

    • Author(s)
      H. Kozono
    • Organizer
      Evolution Equations: Abstract and Applied Perspectives in Honour of the 60th Birthday of Matthias Hieber, Luminy, CIRM, France, October 28 - November 1, 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] $L^r$-Helmholtz-Weyl decomposition of vector fields in 3D exterior domains2019

    • Author(s)
      小薗英雄
    • Organizer
      東北大学数学教室「幾何セミナー」 2019年10月15日
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0072
  • [Presentation] Harmonic vector eelds in Lr on 3D exterior domains.2018

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on PDEs from Fluids
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Strong solutions of the Navier-Stokes equations based on the max- imal Lorentz regularity theorem in Besov spaces2018

    • Author(s)
      小薗英雄
    • Organizer
      The 26th Annual Meeting on Differential Equations and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] 2.Characterization of harmonic Lr-vector elds in 3D exterior domains.2018

    • Author(s)
      小薗英雄
    • Organizer
      PDE Workshop New York University of Shanghai
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Harmonic vector fields in Lr on 3D exterior domains2018

    • Author(s)
      小薗英雄
    • Organizer
      Workshop on Compressible Navier-Stokes Systems and Related Problems (I)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Finite energy for the Navier-Stokes equations and Liouville-type theorems2017

    • Author(s)
      小薗英雄
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Finite energy for the Navier-Stokes equations and Liouville-type theorems2017

    • Author(s)
      小薗英雄
    • Organizer
      Conference on Vorticity, Rotation and Symmetry (IV)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville type theorem2016

    • Author(s)
      小薗英雄
    • Organizer
      International Workshop on Nonlinear Partial Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville-type theorem2016

    • Author(s)
      小薗英雄
    • Organizer
      The 7th Pacic RIM Conference on Mathematics 2016
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville type theorem2016

    • Author(s)
      小薗英雄
    • Organizer
      Workshop on New trends in Partial Differential Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville-type theorem2016

    • Author(s)
      Kozono,H.
    • Organizer
      The 16th International Conference, Graduate School of Mathematics, Nagoya University, Navier-Stokes equations and related topics
    • Place of Presentation
      名古屋大学
    • Year and Date
      2016-03-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Navier-Stokes equations in Besov spaces2016

    • Author(s)
      小薗英雄
    • Organizer
      International workshop on mathematical science for nonlinear phenomena In honor of Prof. Hisashi Okamoto on his 60th birthday
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Navier-Stokes equations with external forces in time-weighted Besov spaces2016

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on Navier-Stokes Equations and Related PDEs In honor of the 60th birthday of Prof. Hi Jun Choe
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H06339
  • [Presentation] Stability of the large solutions to the stationary Navier-Stokes equations2015

    • Author(s)
      小薗英雄
    • Organizer
      The 32nd Kyushu Symposium on Partial Differential Equations
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2015-01-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Stability of large solutions to the stationary Navier-Stokes equations in 3D multi-connected domain2015

    • Author(s)
      Kozono,H.
    • Organizer
      Workshop on the Navier-Stokes Equations, in honour of Prof. Reinhard Farwig's 60th birthday
    • Place of Presentation
      TU Darmstadt
    • Year and Date
      2015-04-22
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Hadamard variational formula for eigenvalues of the Stokes equations and its application2015

    • Author(s)
      Kozono,H.
    • Organizer
      Mathematical Fluid Mechanics: Old Problems, New Trends
    • Place of Presentation
      Banach Center Conference
    • Year and Date
      2015-08-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] 非圧縮性ナビエ・ストークス方程式の定常・非定常流の調和解析的研究2014

    • Author(s)
      小薗英雄
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] D-solutions of the stationary Navier-Stokes equations past an obstacle2014

    • Author(s)
      小薗英雄
    • Organizer
      Classical Problems and New Trends in Mathematical Fluid Dynamics
    • Place of Presentation
      Ferrara, Italy
    • Year and Date
      2014-09-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Convergence of D-solutions in constant vectors at infinity of the stationary Navier-Stokes equations past an obstacle2014

    • Author(s)
      小薗英雄
    • Organizer
      Vorticity, Rotation and Symmetry (III); Approaching Limiting Cases of Fluid Flows
    • Place of Presentation
      CIRM, Luminy France
    • Year and Date
      2014-05-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Stability of the large stationary solutions to the Navier-Stokes equations2014

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on Mathematical Fluid Dynamics, Present and Future
    • Place of Presentation
      早稲田大学
    • Year and Date
      2014-11-11
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Leray's problem on D-solutions to the stationary Navier-Stokes equations2013

    • Author(s)
      Hideo Kozono
    • Organizer
      International Conference Quantization Blow-up and Concentration in Mathematical Physics View Point
    • Place of Presentation
      大阪大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] Leray’s problem on D-solutions to the stationary Navier-Stokes equations past an obstacle2013

    • Author(s)
      Hideo Kozono
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] Boundary value problem of the Navier-Stokes equations in multi-connected domains2012

    • Author(s)
      Hideo Kozono
    • Organizer
      International Workshop on Mathematical Fluid Dynamics and Nonlinear Wave
    • Place of Presentation
      早稲田大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Inhomogeneous boundary value problem of the stationary Navier-Stokes equations in multi-connected domains2012

    • Author(s)
      Hideo Kozono
    • Organizer
      International Workshop on PDE, Nonlinear Dispersive Equations and Fluid Mechanics, Well-posedness and Smoothing Effect
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Uniqueness of weak solutions to the Navier-Stokes equations in general unbounded domains2012

    • Author(s)
      Hideo KOZONO
    • Organizer
      Workshop on Complex Fluids
    • Place of Presentation
      TU Darmstadt, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] New function space in general unbounded domains and its applications2012

    • Author(s)
      Hideo Kozono
    • Organizer
      The 5th Japanese-German International Workshop on Mathematical Fluid Dynamics
    • Place of Presentation
      早稲田大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Uniqueness criterion of weak solutions to the Navier-Stokes equationsin general unbounded domains2012

    • Author(s)
      Hideo Kozono
    • Organizer
      Parabolic and Navier-Stokes Equations
    • Place of Presentation
      Banach Center, Bedlewo, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Uniqueness criterion of weak solutions to the Navier-Stokes equations in general unbounded domains2012

    • Author(s)
      Hideo Kozono
    • Organizer
      Oberwolfach Workshop on Mathematical Aspects of Hydrodynamics
    • Place of Presentation
      Math. Insti. Oberwolfach, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Uniqueness criterion of weak solutions to the Navier-Stokes equations in general unbounded domains2012

    • Author(s)
      Hideo KOZONO
    • Organizer
      POSTECH Summer Workshop on Application and Analysis on PDEs
    • Place of Presentation
      Postech, Pohang, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems2011

    • Author(s)
      Hideo KOZONO
    • Organizer
      VORTICITY, ROTATION AND SYMMETRY (II) , REGULARITY OF FLUID MOTION
    • Place of Presentation
      Luminy, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Global compensated compactness theorem for general differential operators of first order.2010

    • Author(s)
      小薗英雄
    • Organizer
      The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Dresden, Germany
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Leray's inequality in 3D domains2009

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on Parabolic Equations 2009
    • Place of Presentation
      Banach Center, Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Global Div-Curl Lemma in 3D bounded domains2009

    • Author(s)
      小薗英雄
    • Organizer
      German-Japanese International Trainning Groups Waseda-Darmstadt University Mathematical Fluid Dynamics Launching Workshop
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] 領域の位相不変量と定常ナビエ・ストークス方程式の可解性について2009

    • Author(s)
      小薗英雄
    • Organizer
      中央大学 第49回 Encounter with Mathematics 流体基礎方程式 いろいろな視点から見た流体方程式」
    • Place of Presentation
      中央大学
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Leray's inequality in 3D domains2009

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on Parabolic Equations2009 : On the occasion of Prof.Herbert Amann's 70h birthday
    • Place of Presentation
      Banach Center(Bedlewo, Poland)
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Global Div-Curl Lemma in 3D bounded domains2009

    • Author(s)
      小薗英雄
    • Organizer
      International Conference on HarmonicAnalysis and Partial Differential Equations with Applications
    • Place of Presentation
      Beijing Normal University(Beijing, China)
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Leray's inequality in 3D multi-connected domains2009

    • Author(s)
      小薗英雄
    • Organizer
      Workshop on Mathematical Aspects of Hydrodynamics
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Ger many
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Leray's inequality in 3D multi-connected domains2009

    • Author(s)
      小薗英雄
    • Organizer
      Workshop on Mathematical Aspects of Hydrodynamics
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Global Div-Curl Lemma on bounded domains in $R^3$.2008

    • Author(s)
      小薗英雄
    • Organizer
      Vorticity, Rotation and Symmetry-Stabilizing and Destabilizing Fluid Motion C.I.R.M.
    • Place of Presentation
      Luminy, France
    • Data Source
      KAKENHI-PROJECT-20224013
  • [Presentation] Behavior of D-solutions in constant velocity at infinity of the stationary Navier-Stokes equations past an obstacle.

    • Author(s)
      Hideo KOZONO
    • Organizer
      Sixth Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Tokyo Institute of Technology, Tokyo, Japan
    • Year and Date
      2014-09-01 – 2014-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] New function space in general unbounded domains and its applications to the Navier-Stokes equations

    • Author(s)
      Hideo KOZONO
    • Organizer
      The 4th. Korea PDE School; Potential and functional analytic techniques for PDEs
    • Place of Presentation
      NIMS, Daejeon, Korea
    • Year and Date
      2014-02-10 – 2014-02-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Convergence of D-solutions in constant vectors at infinity of the stationary Navier-Stokes equations past an obstacle

    • Author(s)
      Hideo KOZONO
    • Organizer
      Vorticity, Rotation and Symmetry (III); Approaching Limiting Cases of Fluid Flows
    • Place of Presentation
      CIRM, Luminy, France
    • Year and Date
      2014-05-05 – 2014-05-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] Leray's problem on D-solutions to the stationary Navier-Stokes equations past an obstacle

    • Author(s)
      Hideo KOZONO
    • Organizer
      International Conference: Mathematical Analysis of Nonlinear Partial Differential Equations
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2013-11-13 – 2013-11-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition.

    • Author(s)
      Hideo KOZONO
    • Organizer
      International Conference on Mathematical Fluid Dynamics, Present and Future
    • Place of Presentation
      Waseda Univ., Tokyo, Japan
    • Year and Date
      2014-11-11 – 2014-11-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] D-solutions of the stationary Navier-Stokes equations past an obstacle.

    • Author(s)
      Hideo KOZONO
    • Organizer
      Classical Problems and New Trends in Mathematical Fluid Dynamics
    • Place of Presentation
      Univ. Ferrara, Ferrara, Italy
    • Year and Date
      2014-09-29 – 2014-10-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] 非圧縮性ナビエ・ストークス方程式の定常・非定常流の調和解析的研究

    • Author(s)
      小薗 英雄
    • Organizer
      日本数学会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654032
  • [Presentation] Leray's problem on D-solutions of the stationary Navier-Stokes equations past an obstacle

    • Author(s)
      Hideo KOZONO
    • Organizer
      One Forum, Two Cities 2013, Aspect of Nonlinear PDEs
    • Place of Presentation
      Waseda Univ. Tokyo, Japan
    • Year and Date
      2013-09-17 – 2013-09-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Leray's problem on D-solutions to the stationary Navier-Stokes equations past an obstacle.

    • Author(s)
      Hideo KOZONO
    • Organizer
      The Asian Mathematical Conference
    • Place of Presentation
      BEXCO, Busan, Korea
    • Year and Date
      2013-06-30 – 2013-07-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224003
  • [Presentation] Leray's problem on D-solutions to the stationary Navier-Stokes equations past an obstacle

    • Author(s)
      Hideo KOZONO
    • Organizer
      9th ISAAC Congress
    • Place of Presentation
      Krakow,Poland
    • Year and Date
      2013-08-05 – 2013-08-08
    • Data Source
      KAKENHI-PROJECT-24224003
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  • 48.  三沢 正史 (40242672)
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  • 62.  EI Shinichro (30201362)
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  • 63.  YAMADA Sumio (90396416)
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  • 64.  KABEYA Yoshitsugu (70252757)
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  • 65.  ADACHI Shinji (40339685)
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  • 66.  IKOMA Norihisa (50728342)
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  • 67.  SATO Yohei (00465387)
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  • 68.  KURATA Kazuhiro (10186489)
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  • 69.  Shioji Naoki (50215943)
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  • 71.  OHSAWA Takeo (30115802)
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  • 89.  加藤 久子 (00038457)
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  • 91.  桑原 真二 (30011589)
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  • 92.  大原 義郎 (20023294)
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  • 93.  池畠 優 (90202910)
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  • 94.  阪本 雄二 (70215664)
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  • 99.  舟木 直久 (60112174)
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  • 100.  竹中 茂夫 (80022680)
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  • 103.  新井 仁之 (10175953)
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  • 104.  山本 昌宏 (50182647)
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  • 105.  片岡 清臣 (60107688)
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  • 106.  俣野 博 (40126165)
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  • 107.  堤 正義 (70063774)
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  • 109.  藪田 公三 (30004435)
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  • 110.  井川 満 (80028191)
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  • 111.  宮川 鉄朗 (10033929)
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  • 112.  長田 博文 (20177207)
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  • 113.  木村 芳文 (70169944)
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  • 116.  高田 了 (50713236)
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  • 117.  Hirata Jun
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  • 118.  TAKAHASHI Go
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  • 120.  GALDI Giovanni Paolo
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  • 123.  杉山 由恵
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  • 124.  岡部 考宏
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