报告题目 (Title)：Sharp Interface Limit for Compressible Immiscible Two-Phase Dynamics with Relaxation（具有松弛的可压缩不混溶两相动力学的锐界面极限）

报告人 (Speaker)：施小丁 教授 (北京化工大学)

报告时间 (Time)：2023年10月31日（周二）10：00

报告地点 (Place)：腾讯会议：890 929 708 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, the compressible immiscible two-phase flow with relaxation is investigated, this model can be regarded as a natural modification of Jin-Xin relaxation scheme proposed and developed by S.Jin and Z.P.Xin([Comm.Pure Appl.Math., 48,1995]) in view of the numerical approximation of conservation laws. Given any entropy solution consists of two different families of shocks interacting at some positive time for the standard two-phase compressible Euler equations, it is proved that such entropy solution is the sharp interface limit for a family global strong solutions of the modified Jin-Xin relaxation scheme for Navier-Stokes/Allen-Cahn system, here the relaxation time is selected as the thickness of the interface, weighted estimation and improved antiderivative method are used in the proof.