- 2018 - 2022 New modeling and mathematical analysis for pattern formations in life sciences
- 2014 - 2019 Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure
- 2016 - 2019 Elliptic system of equations in singular or extreme shaped domains
- 2014 - 2018 Mathematical foundations and applications in dissipative models arising in life science
- 2013 - 2018 Variational analysis on dynamic geometric problems
- 2013 - 2016 Search for new isoperimetric inequalities relating to elliptic equations
- 2013 - 2016 Study on variational problems, optimization problems and nonlinear partial differential equations
- 2013 - 2016 Domain deformation and analysis on elliptic operators in the oscillation problems in elastic bodies and electromagnetic fields
- 2009 - 2015 Development of Analysis on Evolving Pattern for Complicated Phenomena
- 2010 - 2014 Mathematical studies for nonlocal effect on emergence of localized patterns in dissipative systems and applications
- 2010 - 2013 Lam\'e Operator in a complex domain
- 2010 - 2012 Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations
- 2010 - 2012 Study of Inverse Problems for Family of Elasticity Equations
- 2008 - 2010 接合梁の損傷同定逆問題と固有値問題
- 2005 - 2009 Asymptotic analysis of elliptic operators with singular deformation of domains and degeneration of coefficients
- 2007 - 2009 Mathematical studies for bifurcation structures and transient dynamics of model equations in the superconductivity and BEC
- 2006 - 2009 New topics for partial differential equations whose solution has singular sets
- 2006 - 2008 Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations
- 2005 - 2008 Surface tension and its interaction for non-equilibrium surface phenomena
- 2003 - 2006 Singular deformation of domains and spectral analysis of electro-magnetic problem
- 2003 - 2005 Study of the structure of solutions to Variational Problems, Inverse Problems and Partial Differential Equations
- 2003 - 2005 Mathematical analysis for nonlinear partial differential equations with singular solutions
- 2003 - 2005 Mathematical studies for models of superconductivity
- 2002 - 2004 Inverse Problems for the Family of Wave Equations
- 2001 - 2003 Analysis on PDEs in Material Sciences
- 2001 - 2002 Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems
- 2001 - 2002 Vortex Solutions of the Ginzburg-Landau Equation in a Thin Domain
- 1998 - 2001 Nonlinear Analysis on diffusion effects producing singular shapes
- 1998 - 2001 Singularity theoretical research on Partial Differential Equations and Differential Geometry
- 1997 - 2000 Nonlinear PDEs and infinite dimensional dynamical systems
- 1999 - 2000 Study of Solutions to Partial Differential Equations, Variational problems and Inverse. Problems
- 1999 - 2000 Stability of Vortices and Numerical Analysis of Ginzburg-Landau Equation
- 1997 - 1999 Variational problems in the models of the Liquid Crystals
- 1999 - 1999 微分幾何、物理にあらわれる非線型偏微分方程式における特異性の研究
- 1998 - 1999 Asympotic behaviors of spatial critical points and zeros of solutions of parabolic equations
- 1997 - 1998 Study of Harmonic Analysis, Solutions to Variational Problems and Partial Differential Equa
- 1996 - 1998 ファセット面の現れる結晶成長の数理解析
- 1996 - 1996 ギンツブルグ ランダウ 方程式の解の構造の研究
- 1992 - 1992 代数的組合せ論の研究
- 1991 - 1991 特異摂動領域と偏微分方程式の大域的研究
Show all