Senjo Shimizu

Profile Information

Affiliation: Professor, Department of Mathematics, Faculty of Science, Kyoto University

J-GLOBAL ID: 200901040799929902
researchmap Member ID: 1000185449

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Research History

Apr, 2023 - Present

Professor, Department of Mathematics, Falulty of Science, Kyoto University
Apr, 2015 - Mar, 2023

Professor, Graduate School of Human and Environmental Studies, Kyoto University
Apr, 2008 - Mar, 2015

Professor, Faculty of Science, Shizuoka University
Apr, 1996 - Mar, 2008

Associate Professor, Faculty of Engineering, Shizuoka University
Apr, 1995 - Mar, 1996

Lecturer, Faculty of Engineering, Shizuoka University

Committee Memberships

Jun, 2023 - Present

The acting chairperson, The Mathematical Society of Japan
Oct, 2017 - Present

Associate member, The Science Council of Japan
Jun, 2017 - Present

Board of Director, The Mathematical Society of Japan
Jun, 2021 - May, 2023

President, The Mathematical Society of Japan
Jul, 2021 - Jan, 2022

Selection Committee, King Faisal Prize in Science (Saudi Arabia)
Jan, 2021 - Aug, 2021

Scientific Committee, The World Meeting for Women in Mathematics (WM)^2, IMU’s CWM as a satellite event of ICM
Mar, 2013 - Mar, 2017

Committee member, Division of Functional Equations, the mathematical society of Japan

Awards

Papers

On a Compatibility Condition for the Navier-Stokes Solutions in Maximal L^p-regularity Class

Hideo Kozono, Senjo Shimizu

Springer Proceedings in Mathematics & Statistics, 95-117, Jul 4, 2024 Peer-reviewedInvitedCorresponding author
Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space

Takayoshi Ogawa, Senjo Shimizu

Mathematische Annalen, Mar 16, 2024 InvitedCorresponding author
Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces

Takayoshi OGAWA, Senjo SHIMIZU

Journal of the Mathematical Society of Japan, -1(-1), Oct 18, 2023 Peer-reviewedCorresponding author
Analyticity in space-time of solutions to the Navier-Stokes equations via parameter trick based on maximal regularity

Hideo Kozono, Peer Christian Kunstmann, Senjo Shimizu

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 34-34, Feb 20, 2023 Peer-reviewedCorresponding author
Stability of stationary solutions to the Navier-Stokes equations in the Besov space

Hideo Kozono, Senjo Shimizu

Mathematische Nachrichten, 296(5) 1964-1982, Feb, 2023 Peer-reviewed
Maximal regularity for the Cauchy problem of the heat equation in BMO

Takayoshi Ogawa, Senjo Shimizu

Mathematische Nachrichten, 295(7) 1406-1442, Jun 5, 2022 Peer-reviewedCorresponding author
A Characterization of Harmonic $L^r$-Vector Fields in Three Dimensional Exterior Domains

Matthias Hieber, Hideo Kozono, Anton Seyfer, Senjo Shimizu, Taku Yanagisawa

The Journal of Geometric Analysis, 32(7), May 19, 2022 Peer-reviewed
Maximal L^1-regularity for parabolic initial-boundary value problems with inhomogeneous data

Takayoshi Ogawa, Senjo Shimizu

Journal of Evolution Equations, 22(2), Apr 18, 2022 Peer-reviewedCorresponding author
Maximal L^1-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Takayoshi Ogawa, Senjo Shimizu

Journal of Elliptic and Parabolic Equations, 7(2) 509-535, Oct 30, 2021 Peer-reviewedInvitedCorresponding author
On a Navier–Stokes–Ohm problem from plasma physics in multi connected domains

Senjo Shimizu, Hidenobu Tsuritani

Partial Differential Equations and Applications, 2(6), Oct 14, 2021 Peer-reviewedInvitedLead authorCorresponding author
Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains

Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa

Calculus of Variations and Partial Differential Equations, 60(5), Oct, 2021 Peer-reviewed
L-Helmholtz-Weyl decomposition for three dimensional exterior domains

Matthias Hieber, Hideo Kozono, Anton Seyfer, Senjo Shimizu, Taku Yanagisawa

Journal of Functional Analysis, 281(8) 109144-109144, Oct, 2021 Peer-reviewed
The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains

Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa

The Journal of Geometric Analysis, 31(5) 5146-5165, May, 2021 Peer-reviewedCorresponding author
Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates

Takayoshi Ogawa, Senjo Shimizu

Journal of Differential Equations, 274 613-651, Feb, 2021 Peer-reviewedCorresponding author
Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier–Stokes equations

Hideo Kozono, Akira Okada, Senjo Shimizu

Journal of Evolution Equations, Sep 3, 2020 Peer-reviewedInvitedCorresponding author
Maximal L^1-regularity for parabolic boundary value problems with inhomogeneous data in the half-space

Takayoshi Ogawa, Senjo Shimizu

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 96(7), Jul 1, 2020 Peer-reviewedCorresponding author
Characterization of initial data in the homgeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations

H. Kozono, A. Okada, S. Shimizu

J. Funct. Anal., 278, Jan, 2020 Peer-reviewedCorresponding author
Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains

Paolo Maremonti; Senjo Shimizu

J. Differential Equations, Jan, 2020 Peer-reviewedCorresponding author
A Characterization of Harmonic Lr-Vector Fields in Two-Dimensional Exterior Domains

M. Hieber, H. Kozono, A. Seyfert, S. Shimizu, T. Yanagisawa

The Journal of Geometric Analysis, Jun, 2019 Peer-reviewed
Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity

K. Kaneko, H. Kozono, S. Shimizu

Indiana U. Math. J., 68(3) 857-880, May, 2019 Peer-reviewed

Misc.

END-POINT MAXIMAL $L^1$ REGULARITY FOR A CAUCHY PROBLEM TO PARABOLIC EQUATIONS (Regularity and Singularity for Partial Differential Equations with Conservation Laws)

Ogawa Takayoshi, Shimizu Senjo

RIMS Kokyuroku, 1962 50-58, Aug, 2015
ON THE STOKES EQUATION WITH NEWMANN BOUNDARY CONDITION (Mathematical Analysis in Fluid and Gas Dynamics)

Shibata Yoshihiro, Shimizu Senjo

RIMS Kokyuroku, 1425 40-53, Apr, 2005

Books and Other Publications

Maximal regularity theorem

Senjo Shimizu

Asakura shoten, Jun, 2024 (ISBN: 9784254118735)
Extreme values and conditional extrema of multivariate functions

Senjo Shimizu

数学セミナー2024年6月号, May, 2024
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

清水扇丈 (Role: Contributor, 流体方程式の自由境界問題の数学解析)

京都大学大学院人間・環境学研究科, Mar, 2016
日本の現代数学−新しい展開をめざして−

清水扇丈 (Role: Contributor, 流体方程式と自由境界問題)

数学書房, 小川・斉藤・中島編, 2010

Presentations

Maximal regularity and its application to free boundary problems of fluids

Senjo Shimizu

Catch-all Math Colloquium of Japan, Jul 23, 2024 Invited
Free boundary problems of the Navier-Stokes equations in the critical Besov space

Senjo Shimizu

Nonlinear Analysis A workshop in Celebration of Herbert Amann's 85th Birthday, May 24, 2024 Invited
Free boundary problems for the incompressible Navier-Stokes equations in time L^1 setting

Senjo Shimizu

Seminar of partial differential equations in Osaka University, Jan 19, 2024 Invited
Free boundary problems of the Navier--Stokes equations based on maximal L^1-regularity

Senjo Shimizu

Recent Topics on the Mathematical Fluid Mechanics, Waseda University, Dec 8, 2023 Invited
Free boundary problems for the Navier--Stokes equations

Senjo Shimizu

Mathematics Distinguished Lecture Series 2023, Bandung, Indonesia (hybrid), Dec 2, 2023 Invited
Maximal L^1-regularity and its application to free boundary problems of the Navier--Stokes equations

Senjo Shimizu

Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities, Sendai, Nov 10, 2023 Invited
Free boundary problem on incompressible two-phase flows with phase transitions

Senjo Shimizu

Oberwolfach Seminar: Recent topics on the Navier-Stokes equations, Germany, Oct 22, 2023 Invited
Stability of the equilibria of incompressible two-phase flows with phase transitions

Senjo Shimizu

Metrics and Measures, HeKKSaGOn satellite conference, Tohoku University, Sep 29, 2023 Invited
Free boundary problems of the incompressible Navier-Stokes equations in the critical Besov space

Senjo Shimizu

DD23, 90th anniversary of Prof. V.A. Solonnikov, St. Peterburg, Russia (hybrid), Jun 8, 2023 Invited
Free boundary problems for the incompressible fluids

Senjo Shimizu

Inaugural Meeting of Asian-Oceanian Women in Mathematics, ICTS, India (Hybrid), Apr 27, 2023 Invited
The Worlds Through Mathematics

Yasuaki Hiraoka, Takuro Mochizuki, Motoko Kotani, Kenji Fukumizu, Senjo Shimizu

Feb 12, 2023 Invited
Free boundary problems for the incompressible Navier-Stokes equations in critical spaces

Senjo Shimizu

Mathematical Advances in Geophysical Fluid Dynamics (2246), Mathematisches Forschungsinstitut Oberwolfach, Germany, Nov 16, 2022 Invited
Free boundary problems for the incompressible Navier-Stokes equations in critical spaces

Senjo Shimizu

Oct 8, 2022 Invited
Free boundary problems for the incompressible Navier-Stokes equations in critical spaces

Senjo Shimizu

Nonlinear PDE's in Fluid Dynamics, CIRM, France (Hybrid), May 9, 2022 Invited
Maximal L1-regularity and a free boundary problem for the incompressible Navier-Stokes equations

Senjo Shimizu

Lecture series on Mathematical Fluid Dynamics in Waseda, "Maximal Regularity Theorem and Mathematical Fluid Dynamics", Mar 10, 2021 Invited
Maximal L1-regularity and a free boundary problem for the incompressible Navier-Stokes equations

Senjo Shimizu

Vorticity, Rotation and Symmetry (V) Global Results and Nonlocal Phenomena, CIRM (Hybrid), Oct 30, 2020 Invited
半空間放物型方程式の初期値境界値問題に対する最大L1正則性

清水扇丈

東京理科大学理工学部数学科談話会, Oct 1, 2020 Invited
Maximal L1-regularity for parabolic boundary value problems with inhomogeneous data in the half-space

Senjo Shimzu

The Eighth Pacific RIM Conference in Mathematics, Berkeley (Online), Aug 6, 2020 Invited
Maximal L^1-regularity for the parabolic boundary value problem with inhomogeneous data in the half-space

SHIMIZU Senjo

Evolution Equations: Abstract and Applied Perspective, Oct 29, 2019 Invited
On stability of a Navier-Stokes-Ohm problem from plasma physics

Jan Pruess, Senjo Shimizu

Mar 20, 2019

Professional Memberships

1994 - Present

American Mathematical Society
1991 - Present

The Mathematical Society of Japan

Research Projects

End-point maximal regularity and its application to the Navier-Stokes equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2025
Nonlinear microlocal analysis for the Boltzmann equation

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2023
Modern Mathematical Analysis for the Fluid Dynamics

Grants-in-Aid for Scientific Research Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Japan Society for the Promotion of Science, Feb, 2019 - Mar, 2023
Well-posedness and stability of incompressible and compressible flows with phase transition

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2021
Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2013 - Mar, 2018

Ogawa Takayoshi, Shimizu Senjo, Kurokiba Masaki, Iwabuchi Tsukasa, Wakui Hiroshi
The Boltzmann equation without angular cutoff and nonlinear microlocal analysis

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2018

Morimoto Yoshinori, Lerner Nicolas, Pravda-Starov Karel, Xu Chao-Jiang, Yang Tong, Cho Yong-Kum
Construction of mathematical theory to investigate the macro structure and the mesostructure of the fluid motion

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, May, 2012 - Mar, 2017

Shibata Yoshihiro, YAMAZAKI Masao, HISHIDA Toshiaki, SHIMIZU Senjo, SUZUKI Yukihito, SOLONNIKOV Vsevolod, GALDI Giovanni, HIEBER Matthias, ZAJACZKOWSKI Wojciech, SCHONBECK Maria, DENK Robert
Free boundary problems for flows with phase transitions consistent with thermodynamics based on maximal regularity theorem

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2017

Shimizu Senjo, OGAWA Takayoshi, KUMURA Hironori
Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionals

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

TANAKA Naoki, SHIMIZU Senjo, ISHII Katsuyuki, MATSUMOTO Toshitaka
Study of evolution equations in the space of BV functions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

KIKUCHI Koji, SHIMIZU Senjo, HOSHIGA Akira, ADACHI Shinji, NAKAJIMA Toru
Free boundary problems of flows - kinematic undercooling and instability -

Grants-in-Aid for Scientific Research, Grant-in-Aid for Challenging Exploratory Research, Japan Society for the Promotion of Science, 2011 - 2013

SHIMIZU Senjo
Solvability of differential equations from the point of view of the continuous dependence of solutions on their initial data

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

TANAKA Naoki, SHIMIZU Senjo, TAMURA Hideo, ASAKURA Fumioki
Maximal regularity theory and its application

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

SHIMIZU Senjo, KIKUCHI Koji, OGAWA Takayoshi
Study of problems in calculus of variations, differential equations, and other areas involving minimizing movements

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2010

KIKUCHI Koji, SHIMIZU Senjo, HOSHIGA Akira, ADACHI Shinji, NAKAJIMA Toru
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

科学研究費助成事業, 萌芽研究, 日本学術振興会, 2007 - 2008

小山晃, 千葉慶子, 鈴木信行, 田中直樹, 清水扇丈, 大田春外, 久村裕憲
The approach of an analytic semigroup for free boundary problems of viscous compressible fluids

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2006

SHIMIZU Senjo, SHIBATA Yoshihiro, KIKUCHI Koji, HOSHIGA Akira, ADACHI Shinji, NAKAJIMA Toru
Study of evolution equations from the aspects of the theory of minimizing movements

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2006

KIKUCHI Koji, SHIMIZU Senjo, HOSHIGA Akira, ADACHI Shinji, NAKAJIMA Toru
Study of the stability of solutions to some nonlinear evolution equations based on recent development of real analysis

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2003 - 2006

SHIBATA Yoshihiro, TANAKA Kazunaga, YAMAZAKI Masao, KOBAYASHI Takayuki, SHIMIZU Senjo, HISHIDA Toshiaki
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

Profile Information

Research Interests

Research Areas

Research History

Committee Memberships

Awards

Papers

Misc.

Books and Other Publications

Presentations

Professional Memberships

Research Projects

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