报告题目：Global weak solutions for the compressible viscous non-resistive MHD system and related model

报告简介：The time evolution of electrically conducting compressible flows under the mutual interactions with the magnetic field is described by the system of magnetohydrodynamics (MHD). In this talk, we first focus on the existence of global-in-time weak solutions for the full compressible viscous non-resistive MHD system with large initial data. For a simplified 2D MHD model of full compressible viscous non-resistive flows, we prove the existence of global-in-time weak solutions by invoking the ideas from compressible two-fluid model. Secondly, for the general 3D inviscid resistive MHD system, we prove the existence of infinitely many global-in-time weak solutions for any smooth initial data by the method of convex integration. Thirdly, for the general 3D full compressible viscous non-resistive MHD system, we show the global small data well-posedness via the celebrated two-tier energy method. These results are largely based on the joint work with Prof. Eduard Feireisl and Prof. Yongzhong Sun.

报告人：李扬，男，安徽大学数学科学学院讲师，2019年博士毕业于南京大学。江苏省优秀博士学位论文获得者。研究领域为流体力学中的非线性偏微分方程，特别是磁流体力学方程组。主持国家自然科学基金青年项目，在SIAM J.Math.Anal.、Nonlinearity、J.Differential.Equations.、J.Math.Fluid.Mech.等期刊发表论文十余篇。

报告时间：2022年6月28日（星期二）晚上 19:00-21:00

报告地点：腾讯会议，ID：764-821-374

主办单位：扬州大学数学科学学院

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