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Research Article | Open Access

Magnetohydrodynamics approximation of the compressible full magneto- micropolar system

Jishan Fan1, Tohru Ozawa2( )
Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
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Abstract

In this paper, we will use the Banach fixed point theorem to prove the uniform-in- ϵ existence of the compressible full magneto-micropolar system in a bounded smooth domain, where ϵ is the dielectric constant. Consequently, the limit as ϵ → 0 can be established. This approximation is usually referred to as the magnetohydrodynamics approximation and is equivalent to the neglect of the displacement current.

Keywords

magneto micropolaruniform existencedielectric constant
CLC number: 35B25, 35Q60, 76W05

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16037-16053
DOI: 10.3934/math.2022878

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Cite this article:
Fan J, Ozawa T. Magnetohydrodynamics approximation of the compressible full magneto- micropolar system. AIMS Mathematics, 2022, 7(9): 16037-16053. https://doi.org/10.3934/math.2022878

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Received: 23 May 2022
Revised: 14 June 2022
Accepted: 20 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)