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Watanabe Keiichi  渡邊 圭市

ORCIDConnect your ORCID iD *help
Researcher Number 30875365
Other IDs
Affiliation (Current) 2025: 公立諏訪東京理科大学, 工学部 共通・マネジメント教育センター, 講師
Affiliation (based on the past Project Information) *help 2023 – 2024: 公立諏訪東京理科大学, 工学部 共通・マネジメント教育センター, 講師
2020 – 2022: 早稲田大学, 理工学術院, 講師(任期付)
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Except Principal Investigator
Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
接触角 / 関数方程式論 / 最大正則性 / 自由境界問題 / ナビエ・ストークス方程式 / べゾフ空間
Except Principal Investigator
電磁流体方程式 / Q-tensor model / 時間周期解 / Navier-Stokes方程式 … More / 時間局所解 / 時間大域解 / 自由境界問題 / Navier-Stokes 方程式 / 最大正則性原理 Less
  • Research Projects

    (3 results)
  • Research Products

    (36 results)
  • Co-Researchers

    (4 People)
  •  Mathematical Approach to two phase problem in unbounded domains and the extension to quasilinear parabolic equations

    • Principal Investigator
      柴田 良弘
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Waseda University
  •  Well-posedness of a model for the dynamics of fluids with the moving contact linePrincipal Investigator

    • Principal Investigator
      渡邊 圭市
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Suwa University of Science
      Waseda University
  •  Mathematical Analysis of the incompressible viscous fluid with the moving contact linePrincipal Investigator

    • Principal Investigator
      Watanabe Keiichi
    • Project Period (FY)
      2020 – 2021
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Waseda University

All 2024 2023 2022 2021 2020

All Journal Article Presentation

  • [Journal Article] Global well-posedness of the Navier-Stokes equations in homogeneous Besov spaces on the half-space2024

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 530 Issue: 1 Pages: 127680-127680

    • DOI

      10.1016/j.jmaa.2023.127680

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Global well-posedness of the navier-Stokes equations in homogeneous Besov spaces on the half-spaces2024

    • Author(s)
      Keiichi Watanabe
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 530

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22405
  • [Journal Article] Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension2023

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Advances in Nonlinear Analysis

      Volume: 12 Issue: 1 Pages: 20220279-20220279

    • DOI

      10.1515/anona-2022-0279

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Navier-Stokes flow in exterior Lipschitz domains2023

    • Author(s)
      渡邊圭市
    • Journal Title

      第44回発展方程式若手セミナー報告集

      Volume: - Pages: 195-202

    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains2023

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Journal of Differential Equations

      Volume: 346 Pages: 277-312

    • DOI

      10.1016/j.jde.2022.11.045

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Global large solutions and incompressible limit for the compressible Navier?Stokes system with capillarity2023

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 518 Issue: 1 Pages: 126675-126675

    • DOI

      10.1016/j.jmaa.2022.126675

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Local well-posedness of incompressible viscous fluids in bounded cylinders with 90°-contact angle2022

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Nonlinear Analysis: Real World Applications

      Volume: 65 Pages: 103489-103489

    • DOI

      10.1016/j.nonrwa.2021.103489

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K22311, KAKENHI-PROJECT-21K13826
  • [Journal Article] Strong time-periodic solutions to chemotaxis?Navier?Stokes equations on bounded domains2022

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 42 Issue: 11 Pages: 5577-5577

    • DOI

      10.3934/dcds.2022114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Stability of rotating liquid2021

    • Author(s)
      渡邊圭市
    • Journal Title

      第42回発展方程式若手セミナー報告集

      Volume: 1 Pages: 265-272

    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Journal Article] Stabilization of the chemotaxis?Navier?Stokes equations: Maximal regularity approach2021

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 504 Issue: 2 Pages: 125422-125422

    • DOI

      10.1016/j.jmaa.2021.125422

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K22311, KAKENHI-PROJECT-21K13826
  • [Journal Article] Global Solvability of Compressible?Incompressible Two-Phase Flows with Phase Transitions in Bounded Domains2021

    • Author(s)
      Watanabe Keiichi
    • Journal Title

      Mathematics

      Volume: 9 Issue: 3 Pages: 258-258

    • DOI

      10.3390/math9030258

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Journal Article] Stability of rotating liquid2021

    • Author(s)
      渡邊圭市
    • Journal Title

      第42回発展方程式若手セミナー報告集

      Volume: 1 Pages: 265-272

    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] New Approach to the Free Boundary Problem of the Navier-Stokes Equations2024

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Tongji Seminar on Analysis and PDE
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Stability of rotating liquid drops2024

    • Author(s)
      渡邊圭市
    • Organizer
      第15回 名古屋微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Navier-Stokes flow in exterior Lipschitz domains2023

    • Author(s)
      渡邊圭市
    • Organizer
      第44回発展方程式若手セミナー
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] ナビエ・ストークス方程式の自由境界問題に対する最大 L1 正則性原理2023

    • Author(s)
      渡邊圭市
    • Organizer
      信州若里偏微分方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Large time behavior of the Stokes semigroup in exterior Lipschitz domains2023

    • Author(s)
      渡邊圭市
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] The Navier-Stokes flow in the exterior Lipschitz domain2023

    • Author(s)
      Keiichi Watanabe
    • Organizer
      ICIAM 2023 TOKYO
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Maximal L1-regularity of the Navier-Stokes equations with free boundary conditions: Global well-posedness2023

    • Author(s)
      柴田良弘・渡邊圭市
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Maximal L1-regularity of the Navier-Stokes equations with free boundary conditions: Local well-posedness2023

    • Author(s)
      柴田良弘・渡邊圭市
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Navier--Stokes flow past a moving rigid body with a rough surface2023

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Recent Topics on the Mathematical Fluid Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Stability of stationary solutions to Navier--Stokes equations with free surface2022

    • Author(s)
      渡邊圭市
    • Organizer
      数理解析若手交流会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Stability of uniformly rotating capillary liquid2022

    • Author(s)
      Keiichi Watanabe
    • Organizer
      The Eighth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Stability of slowly rotating capillary liquid2022

    • Author(s)
      渡邊圭市
    • Organizer
      第765回応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] The Navier--Stokes equations in homogeneous Besov spaces on the half-space2022

    • Author(s)
      渡邊圭市
    • Organizer
      第48回発展方程式研究会
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] On the Stokes semigroup in exterior Lipschitz domains2022

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Recent Developments in the Mathematical Analysis of Viscous Fluids, SIAM Conference on Analysis of Partial Differential Equations (PD22)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] On the Stokes semigroup in exterior Lipschitz domains2022

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Recent Developments in the Mathematical Analysis of Viscous Fluids, SIAM Conference on Analysis of Partial Differential Equations (PD22)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] Stability of stationary solutions to a free boundary problem of the Navier--Stokes equations2022

    • Author(s)
      渡邊圭市
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Large time behavior of solutions to the Navier-Stokes equations in exterior Lipschitz domains2022

    • Author(s)
      Keiichi Watanabe
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] Stability of rotating liquid2021

    • Author(s)
      渡邊圭市
    • Organizer
      第42回発展方程式若手セミナー
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] On the equilibrium figures of the uniformly rotating liquid2021

    • Author(s)
      渡邊圭市
    • Organizer
      第14回若手のための偏微分方程式と数学解析
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] Stability of uniformly rotating liquid2021

    • Author(s)
      Keiichi Watanabe
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling, and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] Stability of rotating liquid2021

    • Author(s)
      渡邊圭市
    • Organizer
      第42回発展方程式若手セミナー
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] Stability of uniformly rotating liquid2021

    • Author(s)
      Keiichi Watanabe
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling, and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K13826
  • [Presentation] The moving contact line problem in cylindrical domains2020

    • Author(s)
      渡邊圭市
    • Organizer
      京都大学NLPDEセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K22311
  • [Presentation] On the moving contact line problem in cylindrical domains2020

    • Author(s)
      Keiichi Watanabe
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling, and Numerics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K22311
  • 1.  柴田 良弘 (50114088)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  齋藤 平和 (30754882)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  久保 隆徹 (90424811)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  村田 美帆 (90754888)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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