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 \frac12$-D compressible viscous non-resistive MHD system

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