Well-Posedness in Critical Spaces for the Full Compressible Mhd Equations

Dongfen Bian; Boling Guo

doi:10.1016/S0252-9602(13)60071-5

Well-Posedness in Critical Spaces for the Full Compressible Mhd Equations

Dongfen Bian^*, Boling Guo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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 initial density is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

Original language	English
Pages (from-to)	1153-1176
Number of pages	24
Journal	Acta Mathematica Scientia
Volume	33
Issue number	4
DOIs	https://doi.org/10.1016/S0252-9602(13)60071-5
Publication status	Published - Jul 2013
Externally published	Yes

Keywords

Besov spaces
Critical spaces
Full compressible MHD equations
Littlewood-Paley theory
Local well-posedness

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10.1016/S0252-9602(13)60071-5

Cite this

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title = "Well-Posedness in Critical Spaces for the Full Compressible Mhd Equations",

abstract = "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 initial density is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.",

keywords = "Besov spaces, Critical spaces, Full compressible MHD equations, Littlewood-Paley theory, Local well-posedness",

author = "Dongfen Bian and Boling Guo",

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AU - Bian, Dongfen

AU - Guo, Boling

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N2 - 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 initial density is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

AB - 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 initial density is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

KW - Besov spaces

KW - Critical spaces

KW - Full compressible MHD equations

KW - Littlewood-Paley theory

KW - Local well-posedness

UR - http://www.scopus.com/inward/record.url?scp=84879851689&partnerID=8YFLogxK

U2 - 10.1016/S0252-9602(13)60071-5

DO - 10.1016/S0252-9602(13)60071-5

M3 - Article

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SN - 0252-9602

VL - 33

SP - 1153

EP - 1176

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 4

ER -

Well-Posedness in Critical Spaces for the Full Compressible Mhd Equations

Abstract

Keywords

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