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Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting

Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting
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摘要 In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solution. In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We prove these degenerate boundary layers are stable around a steady solution.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第8期1402-1418,共17页 数学学报(英文版)
基金 Supported by NSFC(Grant No.11671067)
关键词 MHD EQUATIONS DEGENERATE boundary layer EQUATIONS local WELL-POSEDNESS ANALYTIC SPACES MHD equations degenerate boundary layer equations local well-posedness analytic spaces
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