Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains

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-prepa...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 427; no. 1; pp. 263 - 288
Main Authors Cui, Wenqian, Ou, Yaobin, Ren, Dandan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2015
Subjects
Bounded domain
Full magnetohydrodynamic equations
Ideal polytropic
Incompressible limits
Incompressible limits
Bounded domain
Full magnetohydrodynamic equations
Ideal polytropic
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.02.049