Research theme for competitive and other funds (4):
2016 - 2019 圧縮性流体の基礎方程式系に対する構造解析と非線形安定性
2012 - 2016 圧縮性流体の基礎方程式系に現れる非線形波の安定性理論
2009 - 2012 流体運動を記述する双曲・放物型方程式系の解の時間漸近解析
2007 - 2009 非有界領域における圧縮性粘性流体の時間漸近挙動に関する研究
Papers (19):
Tohru Nakamura, Shuichi Kawashima. Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law. Kinetic and Related Models. 2018. 11. 4. 795-819
Tohru Nakamura, Shinya Nishibata, Naoto Usami. Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space. Kinetic and Related Models. 2018. 11. 4. 757-793
T. Nakamura, S. Nishibata. Existence and asymptotic stability of stationary waves for symmetric hyperbolic-parabolic systems in half line. Math. Models and Meth. in Appl. Sci. 2017. 27. 11. 2071-2110
Viscous shock wave and singular limit for hyperbolic systems with Cattaneo's law
(Mathematical Theory of Turbulence via Harmonic Analysisand Computational Fluid Dynamics 2018)
Viscous shock wave and singular limit for hyperbolic systems with Cattaneo's law
(Recent development of mathematical fluid dynamics and hyperbolic conservation laws 2018)
ある緩和的双曲系に現れる粘性衝撃波と特異極限
(若手による流体力学の基礎方程式研究集会 2018)
Viscous shock wave and singular limit for some hyperbolic system with relaxation
(Workshop on Hyperbolic and Parabolic Systems 2017)
Viscous shock wave and singular limit for scalar conservation laws with Cattaneo's law
(Ito Workshop on Partial Differential Equations 2017)