深圳大学四十周年校庆暨数学学科四十周年庆

荔园杰出学者讲座第1期

讲座题目: Free Interface Problems and Stabilizing Effects of Transversal Magnetic Fields

主讲人：辛周平 教授 （香港中文大学）

讲座时间：2023年3月10日14：30-15：30

讲座地点：深圳大学汇星楼3号报告厅

内容概述：Dynamical interface motions are important flow patterns and fundamental free boundary problems in fluid mechanics, and have attracted huge attentions in the mathematical community. Such waves for purely inviscid fluids are subject to various instabilities such as Kelvin-Helmholtz and Rayleigh-Taylor instabilities unless other stabilizing effects such as surface tension, Taylor-sign conditions or dissipations are imposed. However, in the presence of magnetic fields, it has been known that tangential magnetic fields may have stabilizing effects for free surface waves such as plasma-vacuum or plasma-plasma interfaces (at least locally in time), yet whether transversal magnetic fields (which occurs often for interfacial waves for astrophysical plasmas) can stabilizetypical free interfacial waves remains to be some open problems. In this talk I will show the stabilizing effects of the transversal magnetic fields for some interfacial waves for both compressible and incompressible multi-dimensional magnetohydrodynamics (MHD). This talk is based on joint works with Professor Yanjin Wang.

主讲人简介：辛周平，香港中文大学数学科学研究所常务所长、蒙民伟数学讲座教授。1988年获美国密歇根大学博士学位，后加入美国纽约大学柯朗数学研究所并于1996年成为终身教授。辛周平教授长期从事流体力学偏微分方程理论研究，在双曲守恒律、高维激波、边界层理论、混合型方程、可压流体与不可压流体方程和松弛格式等领域做出了突出贡献。曾任香港数学会会长，获得的许多荣誉包括：世界华人数学家大会“晨兴数学奖金奖”（2004年）、国际数学家大会特邀报告人（2002年）、教育部知名学者讲座教授、美国“Sloan奖”（1991年）等。欢迎师生参加！

数学与统计学院

2023年03月06日