学术报告

【online】Free Interface Problems for the Incompressible Inviscid Resistive MHD

发布人:发布时间: 2020-08-24

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Series Talks on Optimal Transportation Problems, PDEs and Their Applications in Image Processing

“最优运输问题、PDE和在图像处理中的应用”系列学术报告

 

题目:Free Interface Problems for the Incompressible Inviscid Resistive MHD


报告人:辛周平 教授(香港中文大学)


时间:2020828日下午 4:00


报告地点:腾讯会议  ID: 555 851 649(密码:123456


摘要:In this talk I will discuss the global well-posedness of free interface problems for the incompressible inviscid resistive MHD. Both plasma-vacuum and plasma-plasma interface problems in a horizontally periodic slab impressed by a uniform transversal magnetic field will be studied. The global well-posedness of both problems with suitable boundary conditions around the equilibrium is established, and the solutions are shown to decay almost exponentially to the equilibrium. The results reveal the strong stabilizing effects of the transversal magnetic field. One of the key observations here is an induced damping structure for the fluid vorticity due to the resistivity and transversallity of the magnetic field. This is a joint work with Yanjin Wang.

 

报告人简介:辛周平,教授。1988年在美国密歇根大学获数学博士学位,现任香港中文大学数学科学研究所副所长、数学系讲座教授。辛周平教授长期从事流体力学偏微分方程理论研究,在双曲守恒率、高维激波、边界层理论、可压流体与不可压流体方程和松弛格式等领域做出了重要的具有国际影响的研究成果。曾在2002年国际数学家大会上做45分钟报告,在2004年的“国际华人数学家大会”上获“晨兴数学奖金奖”。

 

邀请人:杨孝平  老师