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Distinguished Lecture in Celebration of the 10th Anniversary of INS——On Inhibition of Thermal Convection Instability by a Magnetic Field under Zero Resistivity

Fe66e4854d31c17b982febfe2999c9064915ec0e

Speaker

Song Jiang, Institute of Applied Physics and Computational Mathematics, China

Time

2020.11.15 10:00-11:30

Venue

Online—ZOOM APP

ZOOM Info

ZOOM Link
Conference ID: 912-470-45674
Password: 239471

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.

Bio

江松,北京应用物理与计算数学研究所研究员。主要从事可压缩流体力学的数学理论、计算方法及应用研究。在可压缩纳维-斯托克斯方程的适定性理论、瑞利-泰勒不稳定性的数学分析等方面取得了系列成果;与同事合作提出若干实用的计算方法解决了武器物理数值模拟的计算难题,并研制完成重大武器型号数值模拟软件平台。曾获国家自然科学二等奖、军队科技进步一等奖、何梁何利基金科学与技术奖、苏步青应用数学奖等奖项。2015年当选中科院院士。

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