Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2019; 56(6): 1641-1654

Online first article July 17, 2019      Printed November 1, 2019

https://doi.org/10.4134/JKMS.j180848

Copyright © The Korean Mathematical Society.

The quasi-neutral limit of the compressible magnetohydrodynamic flows for ionic dynamics

Young-Sam Kwon

Dong-A University

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

MSC numbers: Primary 35L15; Secondary 35L53

Supported by: The work of Young-Sam Kwon was supported by the research fund of Dong-A University.

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