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.
Young-Sam Kwon
Dong-A University
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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