Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations

2013/09/30 by Song Jiang, Fucai Li · 1 citation
Mathematics · Physics and Astronomy · #math.AP #math-ph #math.MP #msc:76W05 #msc:35Q60 #msc:35B25

paper · pdf · doi:10.3233/asy-151321

published as Asymptotic Analysis, 95(2015), 161-185 · 26pages

arxiv created 2015/10/23 · arxiv updated 2015/10/26

Abstract

The full compressible magnetohydrodynamic equations can be derived formally from the complete electromagnetic fluid system in some sense as the dielectric constant tends to zero. This process is usually referred as magnetohydrodynamic approximation in physical books. In this paper we justify this singular limit rigorously in the framework of smooth solutions for well-prepared initial data.

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