报告题目 (Title)：Hydrodynamic limit of Boltzmann equations for mixture gas（混合气体玻尔兹曼方程的流体动力极限）

报告人 (Speaker)：杨雄锋 教授 (上海交通大学)

报告时间 (Time)：2023年10月30日（周一）14：00

报告地点 (Place)：699 652 702 会议密码：6789

邀请人(Inviter)：朱佩成 教授

主办部门：理学院数学系

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).