Young Scholars' Lectures in Analysis and PDE (online seminar)
报告人：Huanyao Wen (South China University of Technology)
Chengjie Liu（shanghai Jiaotong University）
Speaker: Huanyao Wen (South China University of Technology)
Time：14:00-15:00 June 18 ，2020
Title：Global existence of weak solution to a two-fluid model with large initial data
Abstract: We shall talk about the global existence of weak solutions of Dirichlet problem for a one-velocity viscous two-fluid model. By relying on weak compactness tools we obtain existence results within the class of weak solutions in one dimension and in high dimensions respectively. An essential novel aspect of the analysis, compared with previous works, is that the solution space is large enough to allow for transition to single-phase flow without any constraints in one dimension. In multi-dimensions, similar result can be obtained subject to some constraints for the adiabatic index.
Speaker: Chengjie Liu（shanghai Jiaotong University）
Time：15:15-16:15 June 18 ，2020
Title：Stabilization effect of magnetic field in the inviscid limit for MHD equations on the half space
Abstract: In this talk, I will discuss the stabilization effect of magnetic field in the inviscid limit for MHD equations on the half space with non-slip boundary condition for the velocity.I will talk about two cases of the problem to show respectively that the tangential component and the normal component of magnetic field have stabilization effect in the inviscid limit process. It’s bases on the joint work with Prof. Feng Xie and Tong Yang.
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