On the behavior of boundary layers of one-dimensional isentropic planar MHD equations with vanishing shear viscosity limit

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• 作者：Xia Ye ; Jianwen Zhang ; ^{jwzhang@xmu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35M10 ; 35Q60 ; 76N10 ; 76N17 ; 76N20
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：260
• 期：4
• 页码：3927-3961
• 全文大小：469 K

文摘

In this paper, we consider an initial-boundary value problem for the one-dimensional equations of planar isentropic magnetohydrodynamics (MHD). The vanishing shear viscosity limit is justified. More important, both the thickness and the behavior of boundary layers are described. The proofs of these results are based on the full use of the material derivative, the “effective viscous flux”, and the mathematical structure of the equations.