报告题目：Global weak solutions to compressible MHD system with large initial data

报告人：李扬（安徽大学）

报告时间：2023年12月5日14:00-15:00

报告地点：88038威尼斯323（腾讯会议932 495 5583）

邀请单位：88038威尼斯

报告内容简介：

In this talk, I will report three recent results on compressible MHD system with large initial data. Firstly, we consider a special 2D non-isentropic compressible viscous non-resistive MHD system, existence of global weak solutions is proved with finite energy initial data. Secondly, we consider the general 3D isentropic compressible MHD system with any adiabatic exponent greater than 1, we introduce the concept of dissipative weak solutions and prove the weak-strong uniqueness principle. In particular, we prove the existence by constructing suitable numerical solutions. Thirdly, we consider a special 2D compressible viscous non-resistive MHD system with general inflow-outflow boundary conditions, existence of global weak solutions is proved with finite energy initial data. Weak-strong uniqueness property is also established.

报告人简介：

李扬，安徽大学数学科学学院副教授，2019年博士毕业于南京大学，导师为孙永忠教授。研究领域为流体力学中的偏微分方程。主持国家自然科学基金青年项目，在SIAM J.Math.Anal.,SIAM J.Numer.Anal., IMA J.Numer.Anals. Nonlinearity, JDE等期刊发表论文十余篇。