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建党100周年70周年校庆卓越育人学术育人不言之教幸福之花

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10月15日 江松:Magnetic inhibition on the Rayleigh-Taylor/thermal convection instability in non-resistive magnetohydrodynamics(70周年校庆卓越学术报告)
2021-10-15 14:00:00
讲座题目:Magnetic inhibition on the Rayleigh-Taylor/thermal convection instability in non-resistive magnetohydrodynamics
主讲人:江松
开始时间:2021-10-15 14:00:00
讲座地址:数学楼102报告厅
主办单位:数学科学学院
报告人简介

      江松,应用数学家,中国科学院院士,北京应用物理与计算数学研究所研究员,国家自然科学基金委数理学部主任,主要从事可压缩流体力学数学理论、计算方法及应用研究 。2011年获国家自然科学二等奖,2019年获何梁何利科学与技术进步奖,2020年获苏步青应用数学奖,2021年当选欧洲科学院院士。

报告内容简介

The Rayleigh-Taylor (RT) instability is well known as gravity-driven instability in fluids when a heavy fluid is on top of a light one, while thermal convection instability often arises when a fluid is heated from below. Both of them appear in a wide range of applications in science and technology, such as in inertia confinement fusion, Tokamak, supernova explosions. In this talk, mathematical analysis of the magnetic RT/thermal convection instability in incompressible/compressible fluids will be presented, in particular, effects of (impressed) magnetic fields upon the growth of the RT/thermal convection instability will be discussed and analyzed quantitatively. We shall show that a sufficiently strong (impressed) magnetic field can inhibit the RT/thermal convection instability; otherwise, instability will still occur in the sense that solutions do not continuously depend on initial data.