报告人 :杨雄锋 (上海交通大学)
时间:2023年10月14日 10:30 -
地点:理科楼LA106
报告摘要:In this talk, I will present the hydrodynamic limit of Boltzmann equations for mixture gas in the whole-space. Precisely, we derived the compressible Euler equations for two-component fluid from the kinetic system with molecular potential $-3/2<\gamma\leq 1$ by Hilbert expansion, then we justified the validity of this expansion under the assumption of the local existence of the smooth solution for compressible Euler equations. Our approach is based on the framework established in (Y. Guo, J. Jang and N. Jiang Comm. Pure Appl. Math. 63 (2010) no. 3, 337-361).
报告人简介:杨雄锋,上海交通大学数学与科学学院教授,研究方向为偏微分方程。部分研究工作发表在Adv. Math., Arch. Ration. Mech. Anal., SIAM J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Eqns.等重要数学期刊上。曾多次获得国家自然科学基金委资助,2011年获上海市自然科学一等奖。
联系人:穆春来 王华桥
欢迎广大师生积极参与!