数学科学系

Department of Mathematical Sciences

“数学之美-杰出学者讲坛”系列报告

题目:Magnetic inhibition effect on the Rayleigh-Taylor instability in non-resistive magnetohydrodynamics
报告人:江松(北京应用物理与计算数学研究所研究员,中科院院士)

报告时间:20181012日下午4:00-5:00

报告地点:理科楼A304

邀请人:丘成栋

报告摘要:

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. It appears 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 instability in both incompressible and compressible fluids will be presented, in particular, effects of (impressed) magnetic fields upon the growth of the RT instability will be discussed and analyzed quantitatively.

We shall show that a sufficiently strong (impressed) magnetic field can inhibit the RT instability; otherwise, instability will still occur in the sense that solutions do not continuously depend on initial data. Moreover, we shall give an explanation of physical mechanism for the magnetic inhibition phenomenon based on mathematical analysis。

报告人简介:

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 CNS)方程的适定性理论、流体与磁流体瑞利-泰勒不稳定性和小马赫数极限的数学分析方面取得了一系列成果,例如对任何绝热指数γ>1,与合作者证明了具有大外力的三维定常CNS方程弱解的存在性,以及具有大初值的高维非定常CNS方程球/轴对称解的整体存在性。在应用方面,针对武器物理数值模拟的多介质大变形、网格畸变等计算难点,与同事一起提出了若干实用的新算法(如整体ALE局部欧拉自然耦合方法),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、中国工程物理研究院科技创新二等奖、中国青年科技奖、求是杰出青年奖等。2015年当选中科院院士。