This paper establishes the global well‐posedness of strong solutions for the 3D compressible magnetohydrodynamics (MHD) with non‐flat doping profile and Coulomb force, which is of hyperbolic–parabolic–elliptic mixed type. It is essentially shown that for the initial value problem with initial density allowed to contain vacuum states, the strong solution exists globally under small energy but possible large oscillations.

中文翻译：

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具有库仑力和非平坦掺杂分布的可压缩磁流体动力学方程的强解的全局适定性

本文建立了具有非平坦掺杂分布和库仑力的3D可压缩磁流体动力学（MHD）强解的全局适定性，其为双曲-抛物线-椭圆混合型。本质上表明，对于初始密度允许包含真空态的初值问题，在小能量但可能存在大振荡的情况下，全局存在强解。