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J-GLOBAL ID：200901048323987611 Update date: Apr. 22, 2024

Ogawa Takayoshi

オガワタカヨシ | Ogawa Takayoshi

Affiliation and department：
Job title： Professor
Homepage URL (2)： http://web.tohoku.ac.jp/ogawa/index.html , http://web.tohoku.ac.jp/ogawa/en/index.html

Research field (4)： Applied mathematics and statistics , Basic mathematics , Basic analysis , Mathematical analysis

Research keywords (3)： Applied Analysis , Harmonic Analaysis , Real Analysis

Research theme for competitive and other funds (48)：

2019 - 2024 Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type
2020 - 2023 Invention and explorer for undiscovered structure and principle in the mathematical analysis for the relation between fluid dynamics and combustion.
2018 - 2022 Entropy dissipative structure and mathematical analysis for complex fluids
2019 - 2020 Unravel higher order critical structures to solutions of nonlinear dispersive and dissipative partial differential equations
2015 - 2020 Fusion and evolution of asymptotic analysis and geometric analysis in partial differential equations

2016 - 2019 Mathematical Analysis of Schroedinger equations

2013 - 2018 Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models

2013 - 2018 非線形発展方程式の未踏臨界構造の解明

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

2011 - 2016 Geometric properties and asymptotic behavior of solutions of diffusion equations

2011 - 2016 Fundamental theory for viscosity solutions of fully nonlinear equations and its applications

2012 - 2015 Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysis

2011 - 2015 Correlation research for non-local interaction system and the mass transport conservation law

2010 - 2015 Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis

2010 - 2015 Stability analysis for nonlinear partial differential equations

2008 - 2013 Research for Critical Asymptotic Structure of Nonlinear Evolution Equations

2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics

2008 - 2012 Diffusion and Geometry of Domain

2008 - 2010 Maximal regularity theory and its application

2007 - 2010 Shape of the solutions and asymptotic analysis for the diffusive equations

2007 - 2010 New development of the qualitative theory of nonlinear parabolic and elliptic equations

2007 - 2009 非局所相互作用系と完全可積分構造の関連の探索

2007 - 2009 Asymptotic analysis of systems of nonlinear partial differential equations describing motions of viscous fluids

2006 - 2009 Characterization of dissipative structure for partial differential equations and application to the nonlinear stability analysis

2006 - 2009 Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern Formation

2005 - 2007 Studies on construction of solutions of nonlinear elliptic equations arising from Gaugetheories and on the asymptotic behavior of their heat flows

2005 - 2007 Asymptotic behaivours of solutions for nonlinear wave equations

2003 - 2007 United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations

2004 - 2006 自由境界問題の離散化手法の新展開

2003 - 2006 Asymptotic behavior of solutions for some diffusive equations and its applications

2003 - 2006 Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations

2003 - 2005 画像処理の数理における実解析的手法の探索

2002 - 2005 Asymptotic behavior of solutions and stability of nonlinear waves for equations of gas motion

2002 - 2004 Research on propagation of singularities for nonlinear wave equations

2002 - 2004 Mathematical analysis of thermal convection equations

2001 - 2004 Exterior problem for nonlinear wave equations

2002 - 2003 On the scattering theory and the singular perturbations for the self-adjoint operators

1999 - 2002 Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations

2001 - 2001 粘性流体と分散型非線形方程式研究に関する日韓国際共同研究

1999 - 2001 Study on the fundamental solutions to the equations of radiating gases and its applications

1999 - 2000 非線形数値解析における粘性解の方法

1999 - 2000 Dynamics of solutions near space-periodic bifurcating steady solutions of thermal convection equations

1997 - 2000 Research on well-posedness for the Navier-Stokes equations

1997 - 2000 Spectral and Scattering Theory for Schrodinger Operators

1997 - 1998 Research for the Lp theory of the solutions to nonlinear partial differential equations

1995 - 1996 On Gevrey property and asymptotic analysis for divergent solutions of analytic partial differential equations

1994 - 1994 解析的偏微分方程式におけるジュブレイ性とフレドホルム性

1992 - 1992 非線型発展方程式の解の挙動および関連する非線型楕円型方程式の解の構造の研究

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Papers (115)：

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
Priyanjana M. N. Dharmawardane, Shuichi Kawashima, Takayoshi Ogawa, Jun-ichi Segata. Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity. Journal of Hyperbolic Differential Equations. 2023. 20. 04. 967-986
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
Tatsuya Hosono, Takayoshi Ogawa. Global existence of solutions to the 4D attraction-repulsion chemotaxis system and applications of Brezis-Merle inequality. Nonlinearity. 2023. 36. 11. 5860-5883
Nakao Hayashi, Chunhua Li, Takayoshi Ogawa, Takuya Sato. Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition. Nonlinear Analysis. 2023. 230. 113229-113229

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MISC (21)：

Iwabuchi Tsukasa, Ogawa Takayoshi. Remarks on the ill-posedness results for the drift diffusion system (Harmonic Analysis and Nonlinear Partial Differential Equations). RIMS Kokyuroku Bessatsu. 2016. 56. 31-41
WELL-POSEDNESS OF THE COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM IN BESOV SPACES (Mathematical Analysis in Fluid and Gas Dynamics). 2016. 1985. 144-158
Iwabuchi Tsukasa, Ogawa Takayoshi. ILL-POSEDNESS FOR THE NONLINEAR SCHRODINGIER [SCHRODINGER] EQUATIONS IN ONE SPACE DIMENSION (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws). RIMS Kokyuroku. 2015. 1969. 146-152
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
Takayoshi Ogawa, Tohru Ozawa. PREFACE. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. 2015. 14. 4. I-III

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Books (10)：

リーマン積分からルベーグ積分へ : 積分論と実解析
サイエンス社 2022 ISBN:9784781915531
応用微分方程式
朝倉書店 2017
Real Analytic Method for Nolinear Evolution Equations
Springer Japan 2013 ISBN:9784621065143
Modern Mathematics in Japan --Towarding a new development---
Suugaku Shobou 2010 ISBN:9784903342177
Mathematical analysis on the self-organization and self-similarity
Kinokuniya CoLt 2009

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Lectures and oral presentations (22)：

Pseudo conformal structure and mass resonance for two dimensional quadratic nonlinear Schr ̈odinger system
(Workshop for Nonlinear Partial Differential Equations in Zhejiang University 2015)
Ill-posedness for quadratic nonlinear Schr ̈ odinger equations in lower dimension and related topics,
(Taiwanese Mathematical Society Annual Meeting 2014)
Threshold for the global behavior of solution to degenerate Keller-Segel (drift-diffusion) system in between critical exponents
(“Mathematical Approaches to Pattern Formation 2014)
Threshold for the large time behavior of solutions to degenerate driff-diffusion system in between critical exponents
(“Mathematics for Fluid Dynamics 2014)
Maximal L1 Regularity for the Cauchy Problem of Parabolic Equations
(Mathamatical Theory of Gas and Fluids and Related Applications 2014)

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Professional career (1)：

Doctor of Science (The University of Tokyo)

Committee career (8)：

2019/04 - 2021/03 京都大学数理解析研究所専門委員
2009/09 - 2020/09 函数方程式論福原賞選考委員会福原賞選考委員
2015/04 - 2018/03 日本学術振興会学術システム研究センター研究員
2015/04 - 2017/03 日本数学会解析学賞選考委員会解析学賞選考委員
2009/04 - 2015/03 日本数学会函数方程式論分科会函数方程式論分科会委員

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Awards (3)：

2021/04 - Ministry of Education, Culture, Sports, Science and Technology, Japan Commendataion of MEXT, Science and Technology Prize Research on the critical structure of nonlinear evolution equations and critical functional inequalities
2019/09 - Mathematical Society of Japan Mathematical Society of Japan Autum Prize Research on the critical structure of nonlinear evolution equations
2009/09/26 - 解析学賞委員会(日本数学会) Analysis Prize 実解析的手法による臨界型非線形偏微分方程式の研究

Association Membership(s) (1)：

Mathematical Society of Japan

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