Article ID Journal Published Year Pages File Type
4615248 Journal of Mathematical Analysis and Applications 2015 26 Pages PDF
Abstract

This paper studies the singular limits of the non-isentropic compressible magnetohydrodynamic equations for viscous and heat-conductive ideal polytropic flows with magnetic diffusions in a three-dimensional bounded domain as the Mach number goes to zero. Provided that the initial data are well-prepared, we establish the uniform estimates with respect to the Mach number, which gives the convergence from the full compressible magnetohydrodynamic equations to isentropic incompressible magnetohydrodynamic equations.

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Physical Sciences and Engineering Mathematics Analysis
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