In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded multiply connected domain. We prove the existence of generalized solutions of the steady MHD system with some smallness conditions on the boundary values.

中文翻译：

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多连通边界稳态MHD系统解的存在性

在本文中，我们研究了任意有界多连通域中粘性不可压缩流体的稳态 MHD 系统的非齐次边值问题。我们证明了在边界值上具有一些小条件的稳态 MHD 系统的广义解的存在。