This article is concerned with the 3D nonhomogeneous incompressible magneto- hydrodynamics equations with a slip boundary conditions in bounded domain. We obtain weighted estimates of the velocity and magnetic field, and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.

中文翻译：

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具有滑动边界条件的非齐次MHD方程强解的局部适定性

本文涉及在有界域中具有滑动边界条件的 3D 非均匀不可压缩磁流体动力学方程。我们获得了速度和磁场的加权估计，并用包含真空态的较弱初始数据解决了强解的局部存在性和唯一性问题。