Watanabe Keiichi 渡邊圭市

… Alternative Names

渡邊圭市ワタナベケイイチ

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Researcher Number	30875365
Other IDs	https://orcid.org/0000-0003-0447-5831
Affiliation (Current)	2026: 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, 准教授
Affiliation (based on the past Project Information) *help	2026: 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 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

無限層状領域における圧縮性ナビエ・ストークス方程式の自由境界問題の解析Principal Investigator
- Principal Investigator
  
  渡邊圭市
- Project Period (FY)
  2026 – 2029
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Suwa University of Science
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)
  2024 – 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 2025 2024 2023 2022 2021 2020

All Journal Article Presentation

[Journal Article] Maximal L1 regularity of the Navier Stokes equations with free boundary conditions via a generalized semigroup theory2025
- Author(s)
  Yoshihiro Shibata, Keiichi Watanabe
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 426 Pages: 496-605
- DOI
  10.1016/j.jde.2025.01.060
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K22405, KAKENHI-PROJECT-21K13826
[Journal Article] Compressible Navier-Stokes-Coriolis system in critical Besov spaces2025
- Author(s)
  Fujii Mikihiro、Watanabe Keiichi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 428 Pages: 747-795
- DOI
  10.1016/j.jde.2025.02.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13826, KAKENHI-PROJECT-23K19011
[Journal Article] Navier-Stokes Flow in the Exterior of a Moving Obstacle with a Lipschitz Boundary2025
- Author(s)
  Takahashi Tomoki、Watanabe Keiichi
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 57 Issue: 2 Pages: 2071-2113
- DOI
  10.1137/24m163801x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13826, KAKENHI-PROJECT-23K12999
[Journal Article] Stability of rotating liquid drops with surface tension2024
- Author(s)
  Watanabe Keiichi
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 24 Issue: 3
- DOI
  10.1007/s00028-024-00986-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13826
[Journal Article] The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains2024
- Author(s)
  Watanabe Keiichi
- Journal Title
  
  AIMS Mathematics
  
  Volume: 9 Issue: 7 Pages: 17886-17900
- DOI
  10.3934/math.2024870
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K13826
[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] Free boundary problem of the Navier-Stokes equations in maximal $L_1$-regularity class2024
- Author(s)
  渡邊圭市
- Organizer
  第1回北見数理科学研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[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] Global unique solution to the Keller-Segel-Navier-Stokes system with nonlinear boundary conditions2024
- Author(s)
  Keiichi Watanabe
- Organizer
  RIMS Workshop on Evolution Equations and Related Topics –Quantitative Analysis and Abstract Structures–
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] Maximal $L_1$-regularity approach to the free boundary problem of the Navier-Stokes equations via generalized semigroup theory2024
- Author(s)
  渡邊圭市
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] On the incompressible limit for the compressible Navier-Stokes-Korteweg system2024
- Author(s)
  渡邊圭市
- Organizer
  第10回流体数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] The Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary2024
- Author(s)
  高橋知希, 渡邊圭市
- Organizer
  日本数学会2024年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] Maximal $L_1$-regularity approach to the free boundary problem of the Navier-Stokes equations2024
- Author(s)
  渡邊圭市
- Organizer
  信州大学偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] Keller--Segel--Navier--Stokes system with nonlinear boundary conditions via maximal regularity2024
- Author(s)
  渡邊圭市
- Organizer
  応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] ストークス方程式における境界の正則性と解の正則性の関係2024
- Author(s)
  渡邊圭市
- Organizer
  第50回発展方程式研究会
- 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] Revisiting the Stokes resolvent problem in the half-space2024
- Author(s)
  渡邊圭市
- Organizer
  若手による流体力学の基礎方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] Global well-posedness of the Keller-Segel-Navier-Stokes equations with rotational flux2024
- Author(s)
  渡邊圭市
- Organizer
  解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] On rotating liquid2024
- Author(s)
  渡邊圭市
- Organizer
  第5回大同大学若手微分方程式セミナー in 釧路
- Invited
- Data Source
  KAKENHI-PROJECT-21K13826
[Presentation] The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains2024
- Author(s)
  渡邊圭市
- Organizer
  日本数学会2024年度秋季総合分科会
- 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: 1 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

Watanabe Keiichi 渡邊 圭市

渡邊 圭市 ワタナベ ケイイチ

Research Projects

Research Products

Co-Researchers

無限層状領域における圧縮性ナビエ・ストークス方程式の自由境界問題の解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Mathematical Approach to two phase problem in unbounded domains and the extension to quasilinear parabolic equations

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Well-posedness of a model for the dynamics of fluids with the moving contact linePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Mathematical Analysis of the incompressible viscous fluid with the moving contact linePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Maximal L1 regularity of the Navier Stokes equations with free boundary conditions via a generalized semigroup theory2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Compressible Navier-Stokes-Coriolis system in critical Besov spaces2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Navier-Stokes Flow in the Exterior of a Moving Obstacle with a Lipschitz Boundary2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Stability of rotating liquid drops with surface tension2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains2024

Author(s)

Journal Title

DOI

Data Source

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global well-posedness of the navier-Stokes equations in homogeneous Besov spaces on the half-spaces2024

Author(s)

Journal Title

Data Source

[Journal Article] Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Navier-Stokes flow in exterior Lipschitz domains2023

Author(s)

Journal Title

Data Source

[Journal Article] Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global large solutions and incompressible limit for the compressible Navier?Stokes system with capillarity2023

Author(s)

Journal Title

Watanabe Keiichi 渡邊圭市

渡邊圭市ワタナベケイイチ