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SHOJI Mayumi  東海林 まゆみ

ORCIDConnect your ORCID iD *help
… Alternative Names

MASUDA Kyuya  増田 久弥

増田 久彌  マスダ キュウヤ

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Researcher Number 10090523
Other IDs
Affiliation (based on the past Project Information) *help 2016: 日本女子大学, 理学部, 教授
1999 – 2007: Meiji University, Dept. of Science and Technology, Professor, 理工学部, 教授
1998: 東北大学, 大学院理学研究科, 教授
1995 – 1998: 東北大学, 大学院・理学研究科, 教授
1996: 東北大学, 理学系研究科, 教授 … More
1995: 東北大学, 理学研究科, 教授
1993 – 1994: 立教大学, 理学部, 教授
1991: 立教大学, 理学部, 教授
1988 – 1990: 東京大学, 理学部, 教授
1986: 東京大学, 理学部, 教授
1986: Faculty of Sciences, To"hoku University Professor, 理学部, 教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Global analysis / Global analysis
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Science and Engineering / Geometry / 代数学・幾何学
Keywords
Principal Investigator
ナヴィエ・ストークス方程式 / 反応・拡散系 / ナビエ・ストークス方程式 / Navier-Stokes equations / 磁気流体 / 分岐理論 / Mathematical Pysics / Mahemtical Economics / Phase transiton in binary alloys / Optimal Investment Problem … More / Probabilistic Control Problem / Eguchi-Oki-Matsumura方程式 / 流体 / 2種の合金の相転移方程式 / 最滴投盗間頴 / 数理物理学 / 数理経済学 / 2種混合合金の相転移方程式 / 最適投資問題 / 確率制御問題 / phase separation / steady flow in channel / Lax pair / Discrete Toda equations / 非線形偏微分方程式 / 相分離モデル方程式 / 定常ナビエ・ストークス方程式 / 非定常ナビエ・ストークス方程式 / 相剥離 / チューブの中の定常流 / infinite channel / curvature equation / general slip boundary condition / Stefan problem / Kuramoto-Syvashinsky equations / Minimal surfaces / Schroedinger operators / Navier Stokes equations / 解析性 / オイラー方程式 / ナビエ・ストークマ方程式 / 一般流速条件 / 一般スリップ境界条件 / シュテファン問題 / クラモト・シバシンスキー方程式 / 最小曲面 / シュレディンガー方程式 / Reaction-Diffusion equations / Magnetic fluid / 特異摂動 / water wave / Riemannian manifold / bifurcation theory / blow-up of solutions / nonlinear heat equation / reaction-diffusion system / 順序保存力学系 / 境界値混合問題 / ラプラス変換 / 楕円型方程式 / 非線型拡散方程式 / 非線型反応拡散系 / 多様体上のベキレイ構造 / 表面張力方程式 / 水の波 / 多様体 / 解の爆発 / 非線型熱方程式 / 波動 / 非線形光学 / 非線形 / 光波 / 非線形ラプラス方程式 / 非線波動 / 周期解 / 関数方程式 / 反応拡散系 / 積公式 / 近似解 … More
Except Principal Investigator
非線形偏微分方程式 / 反応拡散系 / 特異摂動 / 力学系 / Navier-Stokes equation / 極小曲面 / Computer assisted proof / 分岐問題 / 解空間の大域的構造 / 熱対流問題 / Navier-Stokes方程式 / 計算機援用証明法 / 微分方程式 / large deviation / 大偏差原理 / 非線型問題 / 基本解 / 発展方程式 / 集中現象 / 安定性 / ノイマン環 / 反応拡散方程式系 / 経路積分 / 特異点 / 解の爆発 / 応用数学 / 流体力学 / 水面波 / 解の分岐 / ナヴィエ-ストークス方程式 / 解析学 / 流体 / 分岐 / 高レイノルズ数 / 2次元流れ / 数理流体力学 / D-module / Semi-simple group / Evolution equation / Operator algebra / Hardy space / subharmonic function / Harmonic function / 補間定理 / 作用変還 / クライン群 / 半単純代数群 / 劣調和函数 / 調和函数 / ハーディ空間 / Interaction of fronts and spots / Formation of bacterial colonies / Venation formation / Ecological models / Cell intelligence / Reaction-diffusion system theory / Transient dynamics / Nonlinear-non-equilibrium system / 中心多様体理論 / 成長パターン形成 / 界面ダイナミクス / 反応拡散系の数値計算 / パルスダイナミクス / 進行波 / 有限資源・消費者系 / 伝染病の伝播 / スポットダイナミクス / 特異極限法 / パルス相互作用 / 大腸菌コロニー形成 / フロント・スポットの相互作用 / バクテリアコロニー形成 / 葉脈形成 / 生態系モデル / 細胞インテリジェンス / 反応拡散系理論 / 遷移ダイナミクス / 非線形非平衡系 / Bifurcation problems / Nonlinear waves / Dynamical systems / Heat convection problems / Global structure of solution space / Nonlinear partial differential equations / 外部問題 / 粘性衝撃波 / 非線形波動 / random walk / crystal lattice / describe geometric analysis / エントロピー関数 / 乱歩 / 磁場つき離散シュレディンガー作用素 / 大偏差理論 / 離散幾何解析 / 多面体 / ランダム・ウォーク / 結晶格子 / 離散幾何解析学 / interface / bifurcation theory / dynamical systems / nonlinear problems / blow-up of solutions / singular limit / singular perturbation method / singularity / 界面 / 分岐理論 / 非線形問題 / 特異極限 / 特異性 / Taylor-Couette problem / Heat convection problem / Dynamical system / Bifurcation from degenerate singular points / Global bifurcation structure / Nonlinear PDE / 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 / Integrable system / Singularities / Group theory / Class field theory / Combinatorics / Symplectic geometry / Global analysis / Mathematical science / 幾何解析 / 過剰決定系 / CR幾何学 / シンプレクティック幾何学 / 等質空間 / 表現論 / トポロジー / 組み合わせ論 / 幾何構造 / リー群 / 微分幾何学 / 可積分系 / 特異点論 / 群論 / 類体論 / 組み合せ論 / シンプレクティック幾何 / 大域解析学 / 数理科学 / Feynman-Kac formula / additive functional / Dirichlet form / symmetric Markov process / 大変差原理 / ファイマン-カッツ汎関数 / ディクレ形式 / ディリクレ形成 / ファインマン-カッツの公式 / 加法的汎関数 / ディリクレ形式 / 対称マルコフ過程 / stability / transition layer / spike-layer solutions / singular perturbation / reaction-diffusion system / 活性因子 / 遷移過程 / パターン形式 / 半線型楕円型偏微分方程式 / 遷移層 / スパイク解 / 反応拡散方程式 / Fourier transform / C^*-algebra / minimal surface / degenerate elliptic operator / wavelet / maximal function / 多変数フーリエ交換 / C^*-代数 / 擬微分作用素 / ハ-ル基底 / 非線形放物形方程式 / 非線形双曲形方程式 / ガボ-斜交系 / 極大函数 / 多変数フーリエ変換 / C^*一環 / 調和写像 / 退化楕円型偏微分作用素 / ガボー斜交系 / ナヴィエ・ストークス方程式 / フーリエ変換 / C^*-環 / 退化楕円型偏微分作用業 / ウェーブレット / 極大関数 / Random Matrix Theory / Method of characteristics / Dirac equation / First order system of PDEs / Hamilton-Jacobi equation / Superspace / Weyl equation / Path integral / Fourier積分作用素 / 偏微分方程式系 / 特性方程式の方法 / ランダム行列理論 / 1階偏微分方程式系 / Hamilton-Jacobi方程式 / スーパー空間 / Dirac方程式 / ヘビサイド理論 / ラプラス変換 / 超関数 / ヤコビ問題 / ホロノミック系 / 離散力学系 / ファトゥ-ビーベルバッハ領域 / シュレーダの方程式 / 逆問題 / 非線型固有値問題 / 解の分枝 / 自由境界 / 関数解析 / 微分不等式 / Kdv方程式 / マルチプライヤー / 多次元フーリエ解析 / 【C^*】-力学系 / 【AW^*】-環 / 【C^*】環の正則完備化 / von Newmann環のJordan構造の一意的加法構造 / 【C^*】-環のデデキント完備化 / アインシュタイン計量 / 拡散-反應方程式 / 解折性 / 活性因子-抑制因子系 / 変分法 / ホール伝導度 / 半群の核表現 / 解の大域的挙動 / リヤプノフ関数 / Lebesgue測度 / テンソル積 / ナヴィア・ストークス方程式 / ハンケル作用素 / テープリッツ作用素 / フーリエ・マルチプライヤー / 平行移動不変作用素 / 平均曲率 / 半線型楕円型方程式 / 指標 / 半単純リ-群 / 保型L関数 / 対称空間 / ゼ-タ関数 / 概均質ベクトル空間 / 拡散方程式 / 無限次元力学系 / 力学系の理論 / 非線形解析 / 応用解析 / フラクタル / アンダ-ソン局在 / 準周期的ポテンシャル Less
  • Research Projects

    (32 results)
  • Research Products

    (11 results)
  • Co-Researchers

    (96 People)
  •  Applied analysis of equations of incompressible fluid motions

    • Principal Investigator
      Okamoto Hisashi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Study on Navier-Stokes equations and the related nonlinear differential equationsPrincipal Investigator

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
  •  Mathematical Approach to Nonlinear-Non-equilibrium Phenomena - Understanding of Transient Spatio-temporal Patterns-

    • Principal Investigator
      MIMURA Masayasu
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meiji University
      Hiroshima University
  •  Research on the Navier-Stokes equation and the related topics on the nonlinear differential equationsPrincipal Investigator

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Meiji 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
  •  Commutative and Non-commutative Bloch Theory

    • Principal Investigator
      SUNADA Toshikazu
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
      Tohoku University
  •  Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
  •  Study of the Mathematical structure of singularities

    • Principal Investigator
      MATANO Hiroshi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas (B)
    • Review Section
      Science and Engineering
    • Research Institution
      The University of Tokyo
  •  Fundamentals and Applications of Mathematics

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku 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
  •  Study on Navier-Stokes equations and related nonlinear partial differential equationsPrincipal Investigator

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Meiji University
      Tohoku University
  •  非線形光学の数学的理論の構築Principal Investigator

    • Principal Investigator
      増田 久弥
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      Meiji University
      Tohoku University
  •  Singularly perturbed solutions of reaction-diffusion systems and concentration phenomena

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
  •  Symmetric Markov processes and Dirichlet forms

    • Principal Investigator
      TAKEDA Masayoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      TOHOKU UNIVERSITY
      Osaka University
  •  微分方程式の解の大域的挙動

    • Principal Investigator
      加藤 順二
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  変分法とその反応拡散方程式系への応用

    • Principal Investigator
      高木 泉
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  A new development of the study for the system of PDE

    • Principal Investigator
      INOUE Atsushi
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  Harmonic Analysis and its Applications

    • Principal Investigator
      IGARI Satoru
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  非線型楕円型境界値問題の解の大域的性質

    • Principal Investigator
      TAKAGI Izumi
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  作用素環と諸種の解析学

    • Principal Investigator
      SAITO Kazuyuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  ナヴィエ・ストークス方程式の非線形関数解析的手法による研究Principal Investigator

    • Principal Investigator
      増田 久弥
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  ナヴィエ・ストークス方程式の非線型関数解析的手法による研究Principal Investigator

    • Principal Investigator
      増田 久弥
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Rikkyo University
  •  ナヴィエ・ストークス方程式の非線型関数解析的手法による研究Principal Investigator

    • Principal Investigator
      増田 久弥
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Rikkyo University
  •  概均質ベクトル空間のゼ-タ関数の研究

    • Principal Investigator
      佐藤 文広
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Rikkyo University
  •  非線型偏微分方程式の解の構造の解析およびその構造

    • Principal Investigator
      俣野 博
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  不規則媒質中の微分方程式

    • Principal Investigator
      小谷 眞一
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      The University of Tokyo
  •  Study of Nonlinear Partial Differential Equations from the View Point of Functional AnalysisPrincipal Investigator

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  微分方程式の複素解析的研究

    • Principal Investigator
      木村 俊房
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  複素領域における偏微分方程式の研究

    • Principal Investigator
      小竹 武
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  作用素環と諸種の解析学

    • Principal Investigator
      斉藤 和之
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tohoku University
  •  非線型問題の数理と現象の解明

    • Principal Investigator
      藤田 宏
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Studies of Harmonic Analysis

    • Principal Investigator
      IGARI Satoru
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY

All 2016 2012 2007 2006 2005 2003

All Journal Article Presentation

  • [Journal Article] A blow-up problem for a nonlinear heat equation in the complex plane of time2016

    • Author(s)
      C.-H. Cho, H. Okamoto, & M. Shoji
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 33 Issue: 1 Pages: 145-166

    • DOI

      10.1007/s13160-015-0203-7

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24244007, KAKENHI-PROJECT-16KT0018
  • [Journal Article] Trajectories of fluid particles in a periodic water-wave2012

    • Author(s)
      H.Okamoto, M.Shoji
    • Journal Title

      Phil.Trans.R.Soc.Lond., A

      Volume: 370 Issue: 1964 Pages: 1661-1676

    • DOI

      10.1098/rsta.2011.0447

    • NAID

      110008460050

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244006, KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-24244007
  • [Journal Article] ナビエ。ストークス方程式の数学的展開2006

    • Author(s)
      増田 久弥
    • Journal Title

      Foourth Oka Symposium 4

      Pages: 83-99

    • Data Source
      KAKENHI-PROJECT-18540222
  • [Journal Article] ナヴィエーストークス方程式の数学的理論の発展2005

    • Author(s)
      増田 久弥
    • Journal Title

      Fourth Oka Symposium 4

      Pages: 83-99

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540215
  • [Journal Article] ナビエ・ストークス方程式の数学的展開2005

    • Author(s)
      増田 久弥
    • Journal Title

      Fourth Oka Symposium講義録 4

      Pages: 83-99

    • Data Source
      KAKENHI-PROJECT-15540215
  • [Journal Article] Development in Mathematiacal theory on Navier-Stokes equations2005

    • Author(s)
      K.Masuda
    • Journal Title

      Reports on Foruht Oka Symposium 4

      Pages: 83-99

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540215
  • [Journal Article] Discrete Lax pair and discrete Toda equation2003

    • Author(s)
      K.Masuda
    • Journal Title

      Commentary Math. Unv. St. Pauli 52

      Pages: 191-196

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540215
  • [Journal Article] Discrete Lax pair and Discrete Toda equation2003

    • Author(s)
      K.Masuda
    • Journal Title

      Comment.Math.Univ., St.Pauli 52

      Pages: 191-196

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540215
  • [Presentation] Finite dimensional exponential attracter for a model for order-disorder phase separation.2007

    • Author(s)
      k. Masuda
    • Organizer
      International Congress on Mathematics and Statistics
    • Place of Presentation
      Athens(Greece)
    • Year and Date
      2007-12-06
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540222
  • [Presentation] Finite-dimensional exponential attracter for a model for order-disorder and phase separation2007

    • Author(s)
      K.Masuda
    • Organizer
      International Congress on Mahtematics and Statisitics
    • Place of Presentation
      アテナ(ギリシャ)
    • Year and Date
      2007-06-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540222
  • [Presentation] Finite-dimensional exponential attracter for a model for or(ler-disorder and phase separation2007

    • Author(s)
      K.Masuda(増田 久弥)
    • Organizer
      International Conference on Mathematics and Statistics
    • Place of Presentation
      Athens Institute for Educa-tion and Research,Greece
    • Year and Date
      2007-06-12
    • Data Source
      KAKENHI-PROJECT-18540222
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