汇报标题 (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）
汇报人 (Speaker)：杨雄锋 教授 (上海交通大学)
汇报功夫 (Time)：2023年10月30日（周一）14：00
汇报地址 (Place)：699 652 702 会议密码：6789
约请人(Inviter)：朱佩成 教授
主办部门：理学院数学系
汇报提要： 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).
