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 language | English |
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Pages (from-to) | 239-269 |
Number of pages | 31 |
Journal | Applicable Analysis |
Volume | 95 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Feb 2016 |
Externally published | Yes |
Keywords
- Besov spaces
- Littlewood-Paley theory
- compressible MHD equations
- critical spaces
- local well-posedness