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Low Mach limit to one-dimensional nonisentropic planar compressible magnetohydrodynamic equations
Authors:Xin Liu  Lijuan Wang
Affiliation:Department of Applied Mathematics, School of Statistics and Information, Shanghai University of International Business and Economics, Songjiang, Shanghai, 201620 China
Abstract:This paper is concerned with a one-dimensional nonisentropic compressible planar magnetohydrodynamic flow with general initial data, whose behaviors at far fields x→± are different. The low Mach limit for the system is rigorously justified. The limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma.
Keywords:low Mach limit  nonisentropic magnetohydrodynamics (MHD)  uniform estimates
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