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The Behavior of Boundary Layer for the Compressible Planar MHD Equations at Small Shear Viscosity

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Abstract

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.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 11671333, 11701240, 11271306, 11371297), the Natural Science Foundation of Fujian Province of China (Grant No. 2015J01023), and the Fundamental Research Funds for the Central Universities (Grant No. 20720160012).

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  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, People’s Republic of China

    Xia Ye

  2. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, People’s Republic of China

    Xia Ye & Jianwen Zhang

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Correspondence to Jianwen Zhang.

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Ye, X., Zhang, J. The Behavior of Boundary Layer for the Compressible Planar MHD Equations at Small Shear Viscosity. J Dyn Diff Equat 32, 281–311 (2020). https://doi.org/10.1007/s10884-018-9726-3

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  • DOI: https://doi.org/10.1007/s10884-018-9726-3

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