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

发布时间:2020-10-22 10:16    浏览次数:    来源:

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:数学学院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.

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