报告题目：On Inhibition of Thermal Convection Instability by a Magnetic Field under Zero Resistivity

报告时间：2021-05-14 10:30-11:30

报告人：江松 中国科学院院士  北京应用物理与计算数学研究所

本次报告为线上线下同步进行

线上报告：腾讯会议（659 367 063）

线下报告：武汉大学理学院东北楼404报告厅

主办单位：国家天元数学中部中心  武汉大学数学与统计学院

Abstract: We investigate the stability/instability of the magnetic Rayleigh-Bénard problem with zero resistivity. A stability criterion is established, under which the magnetic Bénard problem is stable. The current stability result first mathematically verifies Chandrasekhar’s assertion in 1955 that the thermal instability can be inhibited by a strong (impressed) magnetic field in magnetohydrodynamic (MHD) fluids with zero resistivity (based on a linearized steady magnetic Bénard equations). In addition, we also provide an instability criterion, under which the magnetic Rayleigh-Bénard problem is unstable. This instability result shows that the thermal instability still occurs when the (impressed) magnetic field is weak.