Kozono Hideo

2012 - 2015 New development of the theory on turbulence via method of nonlinear partial differential equations

2011 - 2015 Geometric properties and asymptotic behavior of solutions of diffusion equations

2008 - 2013 Theory of global well-posedness on the nonlinear partial differential equations

2006 - 2009 Harmonic analysis by real variable methods and its applications

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

2000 - 2001 Research on a refinement of the energy inequality for weak solutions to the Navier-Stokes equations

1999 - 2001 非圧縮性粘性流体の基礎方程式の研究

1998 - 2000 Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations

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

1997 - 2000 Spectral and Scattering Theory for Schrodinger Operators

1997 - 1999 Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

1997 - 1999 Variational Problems in Differential Geometry

1998 - 1998 調和解析学と非線形偏微分方程式の融合を目指して

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

1997 - 1998 Development and verification of analytical and statistical theory of turbulence

1996 - 1996 微分幾何学における変分問題の解析的側面の研究

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

1995 - 1995 流体中の不連続面の形の発展に関する解析的及び数値的研究

1994 - 1994 外部領域におけるナビエ・ストークス方程式の数理解析

1993 - 1993 ナビエ・ストークス方程式に従う流体中の渦運動の解析的および数値的研究

1992 - 1992 作用素環の指数理論的手法による研究

1988 - 1988 偏微分方程式の解に対する局所理論と超関数論

Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave 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

Autonomous Formation of Spatial Structures in Solutions of Parabolic Partial Differential Equations

非線形偏微分方程式の適切性に関する統一理論の構築

特異積分とその応用

Applied Analysis for Nonlinear Systems

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

Asymptotic behavior of solutions for some diffusive equations and its applications

Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

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

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