Shinshu University · Faculty of Engineering · 准教授

Research keywordsKdV-Burgers equation・Fornberg-Whitham equation・Kadomtsev-Petviashvili equations・asymptotic behavior・anisotropic dissipation・slowly decaying data・nonlinear dispersive PDEs・Cauchy problem

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• Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev−Petviashvili−Burgers equation in 2D
• Optimal decay estimate and asymptotic profile for solutions to the generalized Zakharov−Kuznetsov−Burgers equation in 2D
• Stability criteria for the system of delay differential equations and its applications
• Asymptotic profile of solutions to the Cauchy problem for the generalized Kadomtsev−Petviashvili equations with anisotropic dissipation in 2D

• 分散効果を伴う粘性保存則に対する初期値問題の時間大域解の第２漸近形の構成
• 散逸・分散を伴う非線形波の偏微分方程式の漸近解析
• 高次元における空間異方性を持つBurgers型方程式の漸近解析
• 講義資料リンク（https://1drv.ms/f/c/865b62631ec865b9/IgBRKGyxvDdgRpaBPXGaqrkVAS0X1VEBUbI8k0FasXjepOA?e=Landfe）

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