Kawashima Shuichi

2019 - 2020 Unravel higher order critical structures to solutions of nonlinear dispersive and dissipative partial differential equations

2016 - 2020 圧縮流体方程式の時空非一様ダイナミクスの数学解析

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 - 2016 Analysis of stablity and bifurcation for compressible fluid equations

2010 - 2015 Stability analysis for nonlinear partial differential equations

2010 - 2014 非線形偏微分方程式に対する安定性解析

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

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

2006 - 2009 偏微分方程式系における消散構造の特徴付けと非線形安定性解析への応用

2002 - 2005 気体の方程式系の解の漸近挙動と非線形波の安定性に関する研究

2002 - 2004 Mathematical analysis of thermal convection equations

2001 - 2004 Exterior problem for nonlinear wave equations

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

1999 - 2001 輻射気体の方程式系の基本解とその応用に関する研究

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

1998 - 2000 Stabilization problem for nonlinear wave eq

1997 - 1998 非線形偏微分方程式の実解析学的取扱いの研究

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 STOCHASTIC DIFFERENTIAL EQUATIONS AND LIE ALGEBRAS,LIE GROUPS

1995 - 1997 準線形双曲・楕円型連立方程式系の初期値問題に関する研究

1996 - 1996 Representation of superalgebras and their quantum groups

1995 - 1995 抽象ウィナー空間の複素部分多様体の研究

1994 - 1994 非線形放物型・双曲型偏微分方程式の研究

1993 - 1994 Initial value problem of quasi-linear hyperbolic systems and global geometric optics approximation

1993 - 1993 悲線形放物型・双曲型偏微分方程式の研究

1992 - 1992 確率微分方程式と超関数-両者の結合作用の研究

1992 - 1992 2次元複素空間の解析写像の研究

1991 - 1991 確率微分方程式と非線形フィルタ-の研究

1991 - 1991 準線形双曲型方程式系の初期値問題の解の存在の構成的証明の研究

1987 - 1989 Study of Asymptotic Analysis of Systems of Quasilinear Partial Differential Equations

Studies on singular perturbation problems in nonlinear mechanics

Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations

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

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

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

Asymptotic behaivours of solutions for nonlinear wave equations

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

Stability and nonlinear structure for the nonlinear partial differential equations of gas dynamics.