Kozono Hideo 小薗英雄

… 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

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

[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
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[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
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  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
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[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
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  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
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  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
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  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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111. 宮川鉄朗 (10033929)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
112. 長田博文 (20177207)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
113. 木村芳文 (70169944)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
114. 清水扇丈 (50273165)

# of Collaborated Projects: 1 results

# of Collaborated Products: 11 results
115. 筒井容平 (40722773)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
116. 高田了 (50713236)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
117. Hirata Jun

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
118. TAKAHASHI Go

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
119. FARWIG Reinhard

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
120. GALDI Giovanni Paolo

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
121. 寺澤祐高

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results
122. 牛越惠理佳

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
123. 杉山由恵

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
124. 岡部考宏

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kozono Hideo 小薗 英雄

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

Research Projects

Research Products

Co-Researchers

Mathematical Theory of Partial Differential Equations in Fluid MechanicsPrincipal Investigator

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New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamicsPrincipal Investigator

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Mathematical Theory of turbulence by the method of modern analysis and computational sciencePrincipal Investigator

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New development of the theory on turbulence via method of nonlinear partial differential equationsPrincipal Investigator

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Theory of global well-posedness on the nonlinear partial differential equationsPrincipal Investigator

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United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equationsPrincipal Investigator

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Kozono Hideo 小薗英雄

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