报告题目：Some studies about free boundary problem in fluid mechanics

报告人：解斌强（华南师范大学）

报告地点：数学与计算机科学学院4号楼302室

报告时间：2021年1月15日15：30

报告摘要：

First, we consider a free boundary problem for the compressible current-vortex in two-dimensional magnetohydrodynamics. Under some stability conditions , we prove the local well-posedness of the linearized problem . Next, we talk about compressible vortex sheets in two-dimensional elastodynamics, the necessary and sufficient stability condition is showed.  Furthermore, we will mention a result about sharp regularity for the incompressible inviscid MHD equations with a free surface, the main point is that the smallness of the fluid volume assumption which is not required.

报告人介绍：解斌强，1990年生，博士，华南师范大学副研究员，主持国家自然科学青年基金项目1项，在Nonlinearity，J. Differential Equations等SCI杂志上发表论文若干篇。