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UKAI Seiji  鵜飼 正二

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… Alternative Names

鵜飼 正二  ウエイ セイジ

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Researcher Number 30047170
Other IDs
Affiliation (based on the past Project Information) *help 2004: 国立大学法人横浜国立大学, 大学院・工学研究院, 教授
2003: Yokohama National University, Faculty of Engineering, Professor, 工学研究院, 教授
2001 – 2003: 横浜国立大学, 大学院・工学研究院, 教授
2001: 横浜国立大学, 工学研究院, 教授
1999 – 2000: Yokohama National University, Faculty of Engineering, Professor, 工学部, 教授 … More
1994 – 1998: 東京工業大学, 大学院・情報理工学研究科, 教授
1995: Tokyo Inst.of Technology, 情報理工学研究科, 教授
1994: 東京工業大学, 大学院情報理工学研究科, 教授
1992 – 1994: 東京工業大学, 理学部, 教授
1990: 東京工業大学, 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) / Geometry
Keywords
Principal Investigator
漸近理論 / Boltzmann equation / 流体方程式 / 可解性条件 / 相対論的Euler方程式 / 漸近解析 / fluid equation / 漸近安定性 / 境界層 / 半無限空間境界値問題 … More / Boltzmann方程式 / asymptotic analysis / 周期解 / Boltzmann-Grad極限 / 半空間定常問題 / 境界層理論 / 離散速度ボルツマン方程式 / 衝撃波解 / 離散ボルツマン方程式 / 古典力学的極限 / compressible / boundary value problem / transit layer / エネルギー評価 / Macro-Micro分解 / ポテンシャル場 / 圧縮性 / 境界値問題 / 遷移層 / solvability condition / boundary layer solution / multi-scale analysis / Cauchy-Kovalevskaya Theorem / Boltzmann-Grad Limit / 半無限空間定常問題 / 抽象的Cauchy-Kovalevskaya定理 / BBGKY Hierachy / Milne問題 / 定常解 / 境界層解 / 多重スケール解析 / Cauchy-Kowalevskayaの定理 / Boltzman-Grad極限 / general outflow condition / Euler equation / non-relativistic limit / periodic solution / shock wave / Boltzmann-Grad limit / 熱対流方程式 / Boltzmann Hierarchy / 非線形Boltzmann方程式 / 大域解 / 初期層 / 流体力学的極限 / ボルツマン方程式 / ナビエ・スト-クス方程式 … More
Except Principal Investigator
可視化 / 経路積分 / 非線形発展方程式 / 不動点理論 / Dehn手術 / 双曲多様体 / 幾何構造 / 低次元多様体 / 非線形エルゴード定理 / 非線形作用素 / 非線形関数解析学 / phase transition / quantum random walk / correlation inequality / duality / Contact Process / Interacting particle systems / コンタクトプロセス / 極限定理 / パーコレーション / 相転移現象 / 量子ランダムウォーク / 相関不等式 / 双対性 / コンタクト・プロセス / 無限粒子系 / variational inequality / mini-max theorem / fixed point theorem / convex analysis / evolution equation / ergodic theorem / nonlinear operators. / functional analysis / 非線形変分不等式 / min-max定理 / 凸解析学 / 非線形佐用素 / 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 / 基本解 / 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 / quantum mechanics / fluid mechanics / plasma physics / numerical analysis / applied mathematics / differential equations / 非線形拡散方程式 / 作用素論 / 数理物理 / 符号理論 / 逆問題 / 波動方程式 / 量子論 / 力学系 / 流体 / プラズマ物理 / 数値解析 / 応用数学 / 微分方程式 / 随伴系 / 進行波解 / 力学系理論 / 漸近展開 / 分岐理論 / 摂動法 / 神経方程式 / ラムダ計算 / 型理論 / 多様体 / 自己相似解 / 楕円型 / 非線形 / 偏微分方程式 / 双曲幾何学 / 時系列解析 / 画像処理 / 不動点定理 / 数理計画 / 非線形偏微分方程式 / 流体力学的極限 / 確率偏微分方程式 / 無限次元拡散過程 / 測定値分枝過程 / 集団遺伝学確率モデル / concentration compactness / 非線型Schrodinger方程式 / superanalysis / BGK模型 / 鞍部点法 / Feynman積分 / Hopf方程式 / 汎関数微分 / 非平衡現象 / ギブス測度 / 非線型拡散方程式 / 局所平衡 / 流体力学極限 / エントロピ- Less
  • Research Projects

    (21 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (40 People)
  •  Study on transit layers of the Boltzmann equationPrincipal Investigator

    • Principal Investigator
      KONNO Norio, 鵜飼 正二
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama National University
  •  Multi-Scale Analysis of Differential Equations for Many Particle SystemPrincipal Investigator

    • Principal Investigator
      UKAI Seiji
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      YOKOHAMA NATIONAL UNIVERSITY
  •  Study on phase transition for interacting particle systems

    • Principal Investigator
      KONNO Norio
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yokohama National University
  •  An Over-all Mathematical Study of the Nonlinear Boltzmann Equation and Fluid Dynamical EquationsPrincipal Investigator

    • Principal Investigator
      UKAI Siji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Yokohama National University
      Tokyo Institute of Technology
  •  Nonlinear problem by using fixed point theory

    • Principal Investigator
      TAKAHASHI Wataru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  多様体の幾何構造変形の可視化

    • Principal Investigator
      小島 定吉
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  非線形ボルツマン方程式の境界値問題の研究Principal Investigator

    • Principal Investigator
      鵜飼 正二
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  型理論とその周辺

    • Principal Investigator
      寶来 正子
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  神経方程式における過渡的現象の解析

    • Principal Investigator
      高橋 渉
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  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
  •  多粒子系の非線型微分方程式の研究Principal Investigator

    • Principal Investigator
      鵜飼 正二
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体の構造とその可視化

    • Principal Investigator
      小島 定吉
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  非線形楕円型方程式に対するPohozaevの恒等式とその応用

    • Principal Investigator
      柳田 英二
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  低次元多様体の幾何構造とその可視化

    • Principal Investigator
      小島 定吉
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  非線形偏微分方程式の漸近理論の研究Principal Investigator

    • Principal Investigator
      鵜飼 正二
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  Solutions of Differential Equations and Applications

    • Principal Investigator
      MOCHIZUKI Kiyoshi
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Tokyo Metropolitan University
  •  非線形関数解析学とその周辺

    • Principal Investigator
      高橋 渉
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  汎関数空間上の関数解析学

    • Principal Investigator
      INOUE Atsushi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  マルコフ過程論とその生物・物理モデルへの応用

    • Principal Investigator
      志賀 徳造
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology
  •  非線形現象の偏微分方程式に関する研究Principal Investigator

    • Principal Investigator
      鵜飼 正二
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  統計力学における確率論的モデルの数理解析

    • Principal Investigator
      内山 耕平
    • 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
      Tokyo Institute of Technology

All 2005 2004

All Journal Article

  • [Journal Article] Global solutions of the Boltzmann equation with an external force2005

    • Author(s)
      Seiji Ukai, Tong Yang, Huiziang Zhao
    • Journal Title

      Analysis and Applications (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540185
  • [Journal Article] Asymptotic Analysis of Fluid Equations2005

    • Author(s)
      Seiji Ukai
    • Journal Title

      Lectur Notes on Mathematics(Springer-Verlag) (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540185
  • [Journal Article] Time-periodic solutions of the Boltzmann equation2005

    • Author(s)
      Seiji Ukai
    • Journal Title

      Discrete and Continuous Dynamical Systems (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540185
  • [Journal Article] Nonlinear stability of boundary layers of the Boltzmann equation. I. The case M<-1.2004

    • Author(s)
      Seiji Ukai, Tong Yang, Shih-Hsien Yu.
    • Journal Title

      Commun.Math.Phys. 244.1

      Pages: 99-109

    • Data Source
      KAKENHI-PROJECT-16540185
  • 1.  TAKAHASHI Wataru (40016142)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 2.  小島 定吉 (90117705)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  藤井 光昭 (70016343)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 4.  寶来 正子 (00015588)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  柳田 英二 (80174548)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  KIUCHI Hirobumi (00251611)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  KONNO Norio (80205575)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  内山 耕平 (00117566)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  志賀 徳造 (60025418)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  HIRANO Norimihi (80134815)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  TANI Atusi (90118969)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  INOUE Atsushi (40011613)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  大槻 知忠 (50223871)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  TAKANO Seiji (90018060)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  SHIOJI Naoki (50215943)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  TANIGUCHI Masaharu (30260623)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  森田 茂之 (70011674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  盛田 健彦 (00192782)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  植村 英明 (30203483)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  小沢 真 (00126020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  西本 敏彦 (60016061)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  岡 睦雄 (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  三上 敏雄 (70229657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  飯田 正人 (00242264)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  MOCHIZUKI Kiyoshi (80026773)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  ICHINOSE Takashi (20024044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KAJITANI Kunihiko (00026262)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KATO Junji (80004290)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  KURATA Kazuhiro (10186489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  GIGA Yoshikazu (70144110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  SUZUKI Takashi (40114516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  MIYAKAWA Tetsuo (10033929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  平良 和昭 (90016163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  増田 久弥 (10090523)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KITADA Yasuhiko (70016145)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  牧野 哲 (00131376)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SAITO Noriko (50175353)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  MORIMOTO Hirtoko (50061974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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