Shimizu Senjo

シミズセンジョウ | Shimizu Senjo

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (2)：偏微分方程式 , partial differential equations

Research theme for competitive and other funds (31)：

2021 - 2025 End-point maximal regularity and its application to the Navier-Stokes equations
2017 - 2023 Nonlinear microlocal analysis for the Boltzmann equation
2019 - 2023 Modern Mathematical Analysis for the Fluid Dynamics
2016 - 2021 Well-posedness and stability of incompressible and compressible flows with phase transition
2013 - 2018 Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

2013 - 2018 The Boltzmann equation without angular cutoff and nonlinear microlocal analysis

2012 - 2017 Construction of mathematical theory to investigate the macro structure and the mesostructure of the fluid motion

2012 - 2017 Free boundary problems for flows with phase transitions consistent with thermodynamics based on maximal regularity theorem

2013 - 2016 Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionals

2011 - 2015 Study of evolution equations in the space of BV functions

2011 - 2013 Free boundary problems of flows - kinematic undercooling and instability -

2010 - 2012 Solvability of differential equations from the point of view of the continuous dependence of solutions on their initial data

2008 - 2010 Maximal regularity theory and its application

2007 - 2010 Study of problems in calculus of variations, differential equations, and other areas involving minimizing movements

2007 - 2008 新領域科目「かたちの数理科学」と博士課程後期における数理科学教育

2005 - 2006 The approach of an analytic semigroup for free boundary problems of viscous compressible fluids

2004 - 2006 Study of evolution equations from the aspects of the theory of minimizing movements

2003 - 2006 Study of the stability of solutions to some nonlinear evolution equations based on recent development of real analysis

2002 - 2005 弾性体に対する界面問題

2002 - 2005 流体力学における自由境界値問題

2002 - 2005 Interface problems of elastodynamics

2002 - 2005 Free boundary value problems of fluid mechanics

2002 - 2004 Mathematical analysis of interface problems in mathematical physics

2002 - 2003 Analysis of gradient flow equations and Lagrange equations of action integrals associated to quasiconvex functionals

2000 - 2003 Real analytic approach to the stability theory of nonlinear evolution equations

2000 - 2001 弾性体及び流体の界面問題に関する研究

2000 - 2001 Research in evolution equations related to variational problems

1997 - 1999 An application of real aualytical wethad to nonlinear evolution eguations

1997 - 1998 層状媒質における弾性波伝播問題

1996 - 1996 層状媒質における弾性波伝播問題

1996 - 1996 超準解析に基づく多様体上の確率力学系とその関連分野の研究

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Papers (79)：

Takayoshi Ogawa, Senjo Shimizu. Free boundary problems of the incompressible Navier-Stokes equations with non-flat initial surface in the critical Besov space. Mathematische Annalen. 2024
Takayoshi OGAWA, Senjo SHIMIZU. Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier-Stokes equations in critical spaces. Journal of the Mathematical Society of Japan. 2023. -1. -1
Hideo Kozono, Peer Christian Kunstmann, Senjo Shimizu. Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 2023. 34-34
Hideo Kozono, Senjo Shimizu. Stability of stationary solutions to the Navier-Stokes equations in the Besov space. Mathematische Nachrichten. 2023. 296. 5. 1964-1982
Hideo Kozono, Senjo Shimizu. On a compatibility condition for the Navier-Stokes solutions in Maximal L^p-regularity class. Mathematical Physics and Its Interactions, Springer Nature. 2022

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MISC (2)：

Ogawa Takayoshi, Shimizu Senjo. END-POINT MAXIMAL $L^1$ REGULARITY FOR A CAUCHY PROBLEM TO PARABOLIC EQUATIONS (Regularity and Singularity for Partial Differential Equations with Conservation Laws). RIMS Kokyuroku. 2015. 1962. 50-58
Shibata Yoshihiro, Shimizu Senjo. ON THE STOKES EQUATION WITH NEWMANN BOUNDARY CONDITION (Mathematical Analysis in Fluid and Gas Dynamics). RIMS Kokyuroku. 2005. 1425. 40-53

Books (2)：

流体方程式の自由境界問題の数学解析/人環フォーラム35
京都大学大学院人間・環境学研究科 2016
日本の現代数学-新しい展開をめざして-
数学書房, 小川・斉藤・中島編 2010

Lectures and oral presentations (38)：

Free boundary problems of the Navier--Stokes equations based on maximal L^1-regularity
(Recent Topics on the Mathematical Fluid Mechanics, Waseda University 2023)
Free boundary problems for the Navier--Stokes equations
(Mathematics Distinguished Lecture Series 2023, Bandung, Indonesia (hybrid) 2023)
Maximal L^1-regularity and its application to free boundary problems of the Navier--Stokes equations
(Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities, Sendai 2023)
Free boundary problem on incompressible two-phase flows with phase transitions
(Oberwolfach Seminar: Recent topics on the Navier-Stokes equations, Germany 2023)
Stability of the equilibria of incompressible two-phase flows with phase transitions
(Metrics and Measures, HeKKSaGOn satellite conference, Tohoku University 2023)

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Work history (5)：

2023/04 - 現在 Department of Mathematics, Falulty of Science, Kyoto University Professor
2015/04 - 2023/03 Kyoto University Graduate School of Human and Environmental Studies Professor
2008/04 - 2015/03 Shizuoka University Faculty of Science Professor
1996/04 - 2008/03 Shizuoka University Faculty of Engineering Associate Professor
1995/04 - 1996/03 Shizuoka University Faculty of Engineering Lecturer

Committee career (7)：

2023/06 - 現在 The Mathematical Society of Japan The acting chairperson
2017/10 - 現在 The Science Council of Japan Associate member
2017/06 - 現在 The Mathematical Society of Japan Board of Director
2021/06 - 2023/05 The Mathematical Society of Japan President
2021/07 - 2022/01 King Faisal Prize in Science (Saudi Arabia) Selection Committee

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Awards (3)：

2014/03 - Alexander von Humboldt Foundation, Germany Friedrich Wilhelm Bessel Research Award
2013/01 - Shizuoka University The degree of Excellence researcher in 2013-2015
2012/12 - Division of Functional Equations, the Mathematical Society of Japan Hukuhara Prize

Association Membership(s) (2)：

American Mathematical Society , The Mathematical Society of Japan

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