Magnetohydrodynamics approximation of the compressible full magneto-micropolar system

Jishan Fan, Tohru Ozawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish
Pages (from-to)16037-16053
Number of pages17
JournalAIMS Mathematics
Volume7
Issue number9
DOIs
Publication statusPublished - 2022

Keywords

  • dielectric constant
  • magneto micropolar
  • uniform existence

ASJC Scopus subject areas

  • Mathematics(all)

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