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J-GLOBAL ID：200901003585435357 Update date: Jan. 30, 2024

Kagei Yoshiyuki

カゲイヨシユキ | Kagei Yoshiyuki

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.titech.ac.jp/~kagei/index.html

Research field (1)： Mathematical analysis

Research keywords (2)： Nonlinear Partial Differential Equations , 非線形偏微分方程式

Research theme for competitive and other funds (38)：

2021 - 2026 Mathematical Theory of Partial Differential Equations in Fluid Mechanics
2020 - 2024 New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws
2016 - 2021 New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics
2016 - 2020 Mathematical Analysis of space-time nonuniform dynamics of equations for viscous compressible fluids
2015 - 2018 Asymptotic analysis of boundary layers for viscous compressible Navier-Stokes equatations

2012 - 2017 Mathematical Theory of turbulence by the method of modern analysis and computational science

2013 - 2016 Diffusion wave property of the solutions to the system of the viscous fluid flow

2012 - 2016 Analysis of stablity and bifurcation for compressible fluid equations

2012 - 2015 Asymptotic analysis of water waves over a periodically oscillating bottom

2010 - 2015 Stability analysis for nonlinear partial differential equations

2010 - 2012 Structure of the solutions to the system ofcompressible fluid

2008 - 2012 Theory of global well-posedness on the nonlinear partial differential equations

2009 - 2011 Mathematical analysis of shallow water approximations for water waves

2007 - 2009 Asymptotic structure of the solutions to the system of compressible fluid

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 - 2008 Mathematical analysis of long wave approximations for water waves

2005 - 2006 On a stability of the solutions to the equations of the Compressible flow

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

2003 - 2005 On an analysis globally in time of solutions for surface waves

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

2002 - 2005 Complex analysis of L holomorphic functions on pseudoconvex domains of finite type

2002 - 2004 Mathematical analysis of thermal convection equations

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

1998 - 2000 Representation theory of infinite-dimensional Lie algebras and superalgebras and its mathematical applications

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

1996 - 1998 Studies on behaviors of solutions to hydrodynamical equations

1995 - 1997 Study on the initial value problem for quasilinear hyperbolic-elliptic coupled systems

1995 - 1995 熱対流を記述する非線型偏微分方程式の解の定性的性質の研究

1994 - 1994 熱対流方程式の解の定性的性質の数学的研究

1994 - 1994 非線形放物型・双曲型偏微分方程式の研究

1993 - 1993 悲線形放物型・双曲型偏微分方程式の研究

Mathematical Analysis of the Navier-Stokes Equation

Navier-Stokes方程式の数学解析

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Papers (49)：

Yoshiyuki Kagei, Hiroshi Takeda. Decay estimates of solutions to nonlinear elastic wave equations with viscoelastic terms in the framework of L-Sobolev spaces. Journal of Mathematical Analysis and Applications. 2023. 519. 1. 126801-126801
Yoshiyuki Kagei, Hiroshi Takeda. Smoothing effect and large time behavior of solutions to nonlinear elastic wave equations with viscoelastic term. Nonlinear Analysis. 2022. 219. 112826-112826
Yoshiyuki Kagei. On the mathematical analysis of the artificial compressibility method. Partial Differential Equations and Applications. 2021. 2. 5
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations II: Bifurcation and Stability. Journal of Mathematical Fluid Mechanics. 2021. 23. 3
Chun-Hsiung Hsia, Yoshiyuki Kagei, Takaaki Nishida, Yuka Teramoto. Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations I: Linearized Analysis at Criticality. Journal of Mathematical Fluid Mechanics. 2021. 23. 3

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MISC (8)：

Nonlinear Partial Differential Equations for Future Applications. Springer Proceedings in Mathematics & Statistics. 2021
Yoshiyuki Kagei. On the Chorin method for thermal convection equations for viscous incompressible fluids (Regularity, singularity and long time behavior for partial differential equations with conservation law). RIMS Kôkyûroku Bessatsu. 2020. B80. 95-112
Yoshiyuki Kagei. On stationary bifurcation problem for the compressible Navier-Stokes equations (Hyperbolic problems: theory, numerics, applications). AIMS Ser. Appl. Math. 2020. 10. 192-202
Kagei Yoshiyuki. On large time behavior of solutions to the compressible Navier-Stokes equation around a time periodic parallel flow (Mathematical Analysis of Incompressible Flow). RIMS Kokyuroku. 2014. 1875. 29-40
Y Kagei, W vonWahl. The Eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. 1997. 32. 3. 563-620

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Lectures and oral presentations (110)：

Hopf bifurcation in the artificial compressible system, Part I, Part II
(2020)
Stability and bifurcation analysis of the compressible Navier-Stokes equation
(Seminar at Soochow University 2019)
Hopf bifurcation for artificial compressible systems
(Seminar at Shanghai Jiao Tong University 2019)
Stability of time-periodic parallel flow of compressible viscoelastic system
(2019)
Hopf bifurcation in artificial compressible system for doubly diffusive convection
(2019)

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Education (2)：

1991 - 1992 広島大学大学院理学研究科博士課程後期数学専攻(退学)
1989 - 1991 広島大学大学院理学研究科博士課程前期数学専攻

Professional career (1)：

Doctor (Science) (Hiroshima University)

Work history (6)：

2019/04 - 現在 Tokyo Institute of Technology Department of Mathematics Proofessor
2006/04 - 2019/03 Kyushu University Faculty of Mathematics Proofessor
2000/04 - 2006/03 Kyushu University Faculty of Mathematics Associate Professor
1998/07 - 2000/03 Kyushu University Graduate School of Mathematics Associate Professor
1994/06 - 1998/07 Kyushu University Graduate School of Mathematics Lecturer

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Awards (2)：

2012 - The Mathematical Society of Japan Analysis Prize Stability analysis for parallel flow of the compressible viscous fluid
1998 - The Mathematical Society of Japan The MSJ Takebe Katahiro Prizes Mathematical analysis of thermal convection equations

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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