可压缩磁流体动力学方程(MHD)稳态解的存在性及相对于初值扰动的稳定性（英文）

Stationary solution of the compressible magnetohydrodynamic equation and its stability with respect to initial disturbance

研究了有外力影响的三维可压缩粘性磁流体动力学方程(MHD)解的存在性.首先推导出稳态解的存在性,其次研究当稳态解相对于初值扰动时,方程整体解的存在性.

In this paper, we consider three dimensional compressible viscous magnetohydrodynamic equations （MHD） with external potential force. We first derive the corresponding non-constant stationary solutions. Then we show global well-posedness of the initial value problem for the three dimensional compressible viscous magnetohydrodynamic equations, provided that prescribed initial data is close to the stationary solution.