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    Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations

    Access Status
    Fulltext not available
    Authors
    Xu, F.
    Zhang, Xinguang
    Wu, Yong Hong
    Caccetta, Louis
    Date
    2016
    Type
    Journal Article
    
    Metadata
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    Citation
    Xu, F. and Zhang, X. and Wu, Y.H. and Caccetta, L. 2016. Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations. Acta Mathematica Sinica, English Series. 32 (2): pp. 227-250.
    Source Title
    Acta Mathematica Sinica, English Series
    DOI
    10.1007/s10114-016-4799-6
    ISSN
    1439-8516
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/34607
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we are concerned with Cauchy problem for the multi-dimensional (N = 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms.

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