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

  • Xia Ye
  • Jianwen ZhangEmail author


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.


Compressible MHD Vanishing shear viscosity limit Convergence rates Boundary layer Boundary-layer corrector 

Mathematics Subject Classification

35B45 35M10 76N17 76N20 76W05 



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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Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceJiangxi Normal UniversityNanchangPeople’s Republic of China
  2. 2.School of Mathematical SciencesXiamen UniversityXiamenPeople’s Republic of China

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