20201029 江松 On Inhibition of Thermal Convection Instability by a Magnetic Field

题目：On Inhibition of Thermal Convection Instability by a Magnetic Field
under Zero Resistivity
报告人： 江松（院士，北京应用物理与计算数学研究所）
时间：2020/10/29（周四）9:30-10:30
地点：必赢76net线路唯一官方网站425会议室
摘要：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.