Asymptotic Limit for Rotational Compressible Magnetohydrodynamic Flows

Young Sam Kwon*, Ying Chieh Lin, Cheng Fang Su

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We study the asymptotic limit for the compressible rotational magnetohydrodynamic flows with the well-prepared initial data such that we derive a rigorous quasi-geostrophic equation with diffusion term governed by the magnetic field from a compressible rotational magnetohydrodynamic flows. This paper covers two results: the existence of the unique global strong solution of quasi-geostrophic equation with good regularity on the velocity and magnetic field and the derivation of quasi-geostrophic equation with diffusion.

Original languageEnglish
Article number25
JournalJournal of Mathematical Fluid Mechanics
Volume22
Issue number2
DOIs
StatePublished - 1 Jun 2020

Keywords

  • Asymptotic limit
  • Magnetohydrodynamic flows

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