- 2022 - 2027 非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用
- 2019 - 2024 強双曲型方程式において弱零条件の果たす役割の解明
- 2016 - 2021 New development of mathematical theory of turbulence by collaboration of the nonlinear analysis and computational fluid dynamics
- 2016 - 2019 Toward the integrated dynamics that connect evolutionary economics and engineering
- 2014 - 2019 Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure
- 2013 - 2018 An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equations
- 2012 - 2017 Biomimetics based on the functional structure and the formation process of organisms
- 2012 - 2017 Mathematical Theory of turbulence by the method of modern analysis and computational science
- 2012 - 2016 Global behavior for nonlinear wave
- 2011 - 2015 Quantum stochastic analysis - Transforms and spectral analysis
- 2011 - 2013 Analysis of differential equations on graphs.
- 2008 - 2012 Theory of global well-posedness on the nonlinear partial differential equations
- 2010 - 2011 On the limiting amplitude principle for the exterior problem of the wave equation
- 2008 - 2010 Research of global behavior of classical solutions for quasilinear Wave equations
- 2007 - 2010 Phase Space Analysis of Partial Differential Equations
- 2007 - 2010 On study of evolution equations with hyperbolic properties
- 2005 - 2007 On the asymptotic behavior of solution to systems of nonlinear wave equations of long range type
- 2003 - 2005 On study of partial differential equations describing natural phenomena
- 2002 - 2004 Mathematical analysis of interface problems in mathematical physics
- 2002 - 2004 摂動型波動方程式に対する重みつき時空評価に関する研究
- 2002 - 2003 Analysis of gradient flow equations and Lagrange equations of action integrals associated to quasiconvex functionals
- 2000 - 2001 非線型波動におけるStrauss予想のある一般化
- 2000 - 2001 Research in evolution equations related to variational problems
- 1998 - 1999 Research on properties of Markov processes governed by the pseudo-differential operators with variable orders and application of the m to nonlinear analysis
- 1996 - 非線型波動方程式に関する研究
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