Watanabe Keiichi

ワタナベケイイチ | Watanabe Keiichi

Affiliation and department：
Job title： Junior Associate Professor
Homepage URL (1)： https://sites.google.com/view/keiichiwatanabe/

Research field (1)： Mathematical analysis

Research keywords (2)： Navier-Stokes equations , Partial differential equations

Research theme for competitive and other funds (10)：

2022 - 2027 Mathematical approach to 2 phase problem in unbounded domains and an extension of its approach to the theory of quasilinear parabolic equations
2021 - 2026 Well-posedness of a model for the dynamics of fluids with the moving contact line
2023 - 2024 経営学と数学の融合を通じた訪問診療におけるDX推進の有効性に関する研究
2022 - 2023 Mathematical analysis of the Navier-Stokes equations in exterior domains
2021 - 2023 DAAD-Waseda University Partnership Programme

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Papers (13)：

Keiichi Watanabe. Stability of rotating liquid drops with surface tension. Journal of Evolution Equations. 2024. 24. 56
Keiichi Watanabe. The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains. AIMS Mathematics. 2024. 9. 7. 17886-17900
Keiichi Watanabe. Global well-posedness of the Navier-Stokes equations in homogeneous Besov spaces on the half-space. Journal of Mathematical Analysis and Applications. 2024. 530. 1. 127680
Keiichi Watanabe. Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains. Journal of Differential Equations. 2023. 346. 277-312
Keiichi Watanabe. Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity. Journal of Mathematical Analysis and Applications. 2023. 518. 1. 126675-126675

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MISC (4)：

Keiichi Watanabe. Navier-Stokes flow in exterior Lipschitz domains. 2023. 195-202
Keiichi Watanabe. Stability of rotating liquid. 2021. 265-272
Keiichi Watanabe. The Stokes operator in exterior Lipschitz domains. RIMS Kôkyûroku. 2020. 2168. 44-56
Keiichi Watanabe. On the local solvability of compressible-incompressible two-phase flows with phase transitions in general domains. 第40回発展方程式若手セミナー報告集. 2018. 237-244

Lectures and oral presentations (41)：

On the incompressible limit for the compressible Navier-Stokes-Korteweg system
(2024)
Maximal $L_1$-regularity approach to the free boundary problem of the Navier-Stokes equations
(2024)
Maximal $L_1$-regularity approach to the free boundary problem of the Navier-Stokes equations via generalized semigroup theory
(2024)
Stability of rotating liquid drops
(The 15th Nagoya Workshop on Differential Equations 2024)
New Approach to the Free Boundary Problem of the Navier-Stokes Equations
(Tongji Seminar on Analysis and PDE 2024)

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Education (5)：

2017 - 2020 Waseda University Graduate School of Fundamental Science and Engineering Department of Pure and Applied Mathematics
2016 - 2017 Waseda University Graduate School of Fundamental Science and Engineering Department of Pure and Applied Mathematics
2013 - 2016 Waseda University School of Fundamental Science and Engineering Department of Mathematics
2012 - 2013 Waseda University School of Fundamental Science and Engineering
2009 - 2012 桐蔭学園高等学校理数科

Professional career (1)：

Work history (3)：

2023/04 - 現在 Suwa University of Science School of General and Management Studies Junior Associate Professor
2020/04 - 2023/03 Waseda University Global Center for Science and Engineering Assistant Professor
2019/04 - 2020/03 Japan Society for the Promotion of Science Research Fellowship for Young Scientists (DC2)

Association Membership(s) (1)：

The Mathematical Society of Japan

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