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

被引：4
作者：
Ye, Xia [1 ,2 ]
Zhang, Jianwen [2 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Compressible MHD; Vanishing shear viscosity limit; Convergence rates; Boundary layer; Boundary-layer corrector; NAVIER-STOKES EQUATIONS; GLOBAL-SOLUTIONS; MAGNETOHYDRODYNAMIC EQUATIONS; CLASSICAL-SOLUTIONS; LARGE OSCILLATIONS; FLOWS; LIMIT; EXISTENCE; FLUIDS;
D O I：
10.1007/s10884-018-9726-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：281 / 311
页数：31
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