WELL-POSEDNESS IN CRITICAL SPACES FOR THE FULL COMPRESSIBLE MHD EQUATIONS

In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in R^N, N≥ 2, under the assumptions that the initialdensity is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection t...

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Veröffentlicht in:	Acta mathematica scientia 2013-07, Vol.33 (4), p.1153-1176
1. Verfasser:	边东芬郭柏灵
Format:	Artikel
Sprache:	eng
Schlagworte:	76N10 76W05 Besov spaces Besov空间 Convection critical spaces Density Estimates full compressible MHD equations Linear systems Littlewood-Paley theory local well-posedness Magnetohydrodynamics Mathematical analysis MHD MHD方程 Proving 可压缩局部适定性抛物线线性系统证明零界
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Zusammenfassung:	In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in R^N, N≥ 2, under the assumptions that the initialdensity is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(13)60071-5