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http://dx.doi.org/10.4134/JKMS.j180848

THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS  

Kwon, Young-Sam (Department of Mathematics Dong-A University)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.6, 2019 , pp. 1641-1654 More about this Journal
Abstract
In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain ${\mathbb{T}}^3$ with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.
Keywords
compressible magnetohydrodynamic flows; quasi-neutral limit; relative entropy;
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