Derivation of Inviscid Quasi-geostrophic Equation from Rotational Compressible Magnetohydrodynamic Flows

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper, we consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the rotational compressible magnetohydrodynamic flows with the well-prepared initial data. It is a first derivation of quasi-geostrophic equation governed by the magnetic field, and the tool is based on the relative entropy method. This paper covers two results: the existence of the unique local strong solution of quasi-geostrophic equation with the good regularity and the derivation of a quasi-geostrophic equation.

Original languageEnglish
Pages (from-to)599-620
Number of pages22
JournalJournal of Nonlinear Science
Volume28
Issue number2
DOIs
StatePublished - 1 Apr 2018

Keywords

  • Inviscid incompressible limit
  • Magnetohydrodynamic flows
  • Quasi-geostrophic equations

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