Well-posedness in super critical Besov spaces for the compressible MHD equations

Dongfen Bian; Baoquan Yuan

doi:10.1504/IJDSDE.2011.041882

Well-posedness in super critical Besov spaces for the compressible MHD equations

Dongfen Bian, Baoquan Yuan^*

^*Corresponding author for this work

Henan Polytechnic University

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

8 Citations (Scopus)

Abstract

In this paper we prove local well-posedness in super critical Besov spaces for the compressible MHD equations in R^N,N ≥ 2, under the assumptions that the initial density is bounded 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
Pages (from-to)	383-399
Number of pages	17
Journal	International Journal of Dynamical Systems and Differential Equations
Volume	3
Issue number	3
DOIs	https://doi.org/10.1504/IJDSDE.2011.041882
Publication status	Published - Aug 2011
Externally published	Yes

Keywords

Compressible MHD equations
Littlewood-Paley theory
Local well-posedness
Super critical Besov spaces

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10.1504/IJDSDE.2011.041882

Cite this

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title = "Well-posedness in super critical Besov spaces for the compressible MHD equations",

abstract = "In this paper we prove local well-posedness in super critical Besov spaces for the compressible MHD equations in RN,N ≥ 2, under the assumptions that the initial density is bounded and bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.",

keywords = "Compressible MHD equations, Littlewood-Paley theory, Local well-posedness, Super critical Besov spaces",

author = "Dongfen Bian and Baoquan Yuan",

year = "2011",

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doi = "10.1504/IJDSDE.2011.041882",

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AU - Yuan, Baoquan

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N2 - In this paper we prove local well-posedness in super critical Besov spaces for the compressible MHD equations in RN,N ≥ 2, under the assumptions that the initial density is bounded and 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 super critical Besov spaces for the compressible MHD equations in RN,N ≥ 2, under the assumptions that the initial density is bounded and bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term.

KW - Compressible MHD equations

KW - Littlewood-Paley theory

KW - Local well-posedness

KW - Super critical Besov spaces

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DO - 10.1504/IJDSDE.2011.041882

M3 - Article

AN - SCOPUS:79957817687

SN - 1752-3583

VL - 3

SP - 383

EP - 399

JO - International Journal of Dynamical Systems and Differential Equations

JF - International Journal of Dynamical Systems and Differential Equations

IS - 3

ER -

Well-posedness in super critical Besov spaces for the compressible MHD equations

Abstract

Keywords

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