Local well-posedness in critical spaces for the compressible MHD equations

Dongfen Bian*, Baoquan Yuan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we prove local well-posedness in critical Besov spaces for the compressible MHD equations in (Formula presented.) under the assumptions that the initial density is bounded above and bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

Original languageEnglish
Pages (from-to)239-269
Number of pages31
JournalApplicable Analysis
Volume95
Issue number2
DOIs
Publication statusPublished - 1 Feb 2016
Externally publishedYes

Keywords

  • Besov spaces
  • Littlewood-Paley theory
  • compressible MHD equations
  • critical spaces
  • local well-posedness

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