# 亚博买球

baogaoren: jiangfei jiaoshou fuzhoudaxue

baogaodidian: shulilou135

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.