The vanishing shear viscosity limit to an initial-boundary value problem of planar MHD equations for compressible viscous heat-conducting fluids is justified and the convergence rates are obtained. More important, to capture the behavior of the solutions at small shear viscosity, both the boundary-layer thickness and the boundary-layer corrector are discussed.

中文翻译：

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小剪切粘度下可压缩平面MHD方程的边界层行为

证明了对于可压缩粘性导热流体的平面MHD方程的初始边界值问题消失时的剪切粘度极限是合理的，并获得了收敛速度。更重要的是，为捕获溶液在低剪切粘度下的行为，讨论了边界层厚度和边界层校正剂。