汇报标题 (Title)：Sharp Interface Limit for Compressible Immiscible Two-Phase Dynamics with Relaxation（拥有松弛的可压缩不混溶两相动力学的锐界面极限）
汇报人 (Speaker)：施幼丁 教授 (北京化工大学)
汇报功夫 (Time)：2023年10月31日（周二）10：00
汇报地址 (Place)：腾讯会议：890 929 708 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, 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.
