- 2021 - 2026 非線形分散型方程式の線形化作用素に現れるレゾナンスの役割の解明
- 2020 - 2024 New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws
- 2017 - 2021 Stability analysis for planar traveling solutions for nonlinear dispersive equations
- 2016 - 2020 Mathematical Analysis of space-time nonuniform dynamics of equations for viscous compressible fluids
- 2013 - 2017 Stability analysis of patterns in nonlinear dispersive equations
- 2009 - 2012 Dynamics of solutions for nonlinear dispersive equation
- 2007 - 2009 Mathematical studies for bifurcation structures and transient dynamics of model equations in the superconductivity and BEC
- 2005 - 2007 Interface motion and blow-up phenomena in nonlinear partial differential equations
- 2005 - 2007 非線形分散型偏微分方程式の孤立波の安定性解析
- 2004 - 2007 Dynamics of patterns and their interactions for nonlinear evolutional equations
- 2003 - 2006 Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations
- 2002 - 2004 非線形分散型方程式の孤立波の安定性の研究
- 2000 - 2003 Dynamics of localized patterns in nonlinear evolutional systems
- 2000 - 2002 Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations
- 2000 - 2001 非線形分散型方程式の孤立波の安定性の研究
- 1997 - 1999 Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves
- 1997 - 1999 非線形発展方程式に現われる界面の運動
- 1998 - 1998 エネルギーを減衰する波動方程式および分散型方程式の解の漸近的な挙動
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