In this paper, we are concerned with the three-dimensional stationary equations of compressible magnetohydrodynamic (MHD) isentropic flow in a bounded cylinder domain \(\Omega =(0,1)\times \Omega _0\) with an inhomogeneous boundary condition. We obtain the existence and uniqueness of a strong solution provided that the data are around a given constant flow. From our result, it reveals that the magnetic Reynolds number plays an important role in the stability of steady compressible MHD equations.

中文翻译：

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关于稳态可压缩磁流体动力学流的非均匀边界值问题

在本文中，我们关注具有非均匀边界条件的有界圆柱域\（\ Omega =（0,1）\ times \ Omega _0 \）中的可压缩磁流体动力学（MHD）等熵流的三维平稳方程。如果数据围绕给定的恒定流量，我们将获得一个强大的解决方案的存在性和唯一性。从我们的结果可以看出，雷诺数在稳定可压缩MHD方程的稳定性中起着重要作用。