亚博买球

福州大学江飞教授学术报告

发布时间: 2021年07月07日 作者: 陈和柏   阅读次数: []

baogaoren: jiangfei jiaoshou fuzhoudaxue

亚博买球shijian: 2021nian7yue9hao, xingqiwu, shangwu10:00-11:00

baogaodidian: shulilou135

亚博买球timu: on inhibition of the rayleigh--taylor instability by a horizontal magnetic field in ideal mhd fluids with velocity damping

zhaiyao: in this talk, we introduce that the inhibition phenomenon of the rayleigh--taylor (rt) instability by a horizontal magnetic field can be rigorously verified in the (nonlinear) inhomogeneous, incompressible, idea magnetohydrodynamic (mhd) fluid with velocity damping in a two-dimensional (2d) horizontal slab domain. more precisely, there is a critical number $m_{\mm{c}}$, such that if the strength $|m|$ of a horizontal magnetic field is bigger than $m_{\mm{c}}$, then the small perturbation solution around the magnetic rt equilibrium state is exponentially stable in time. moreover, we also intrduce a nonlinear instability result for the case $|m|\in [0,m_{\mm{c}})$. the instability result reveals that a horizontal magnetic field can not inhibit the rt instability, if it's strength is too small.

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