时间：2022/05/18 10:00-12:00

报告地址：腾讯会议：148-541-614

报告题目：Global small solutions to a special $2\frac12$-D compressible viscous non-resistive MHD system

报告摘要：In the report, we are concerned with the global well-posedness and stability problem on a special $2\frac12$-D compressible viscous non-resistive MHD system near a steady-state solution. The steady-state here consists of a positive constant density and a background magnetic field.The global solution is constructed in $L^p$-based homogeneous Besov spaces, which allow general and highly oscillating initial velocity. The well-posedness problem studied here is extremely challenging due to the lack of the magnetic diffusion, and remains open for the corresponding 3D MHD equations. Our approach exploits the enhanced dissipation and stabilizing effect resulting from the background magnetic field, a phenomenon observed in physical experiments.  In addition, we obtain the solution's optimal decay rate when the initial data is further assumed to be in a Besov space of negative index. This is a Joint work with Boqing Dong, and Jiahong Wu.

报告人简介：翟小平，深圳大学， 助理教授， 主要研究流体力学方程组适定性问题。2017年入选深圳市后备人才计划，主持国家自然科学基金和广东省基金各一项，发表SCI论文多篇。