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

Xu, F.; Zhang, Xinguang; Wu, Yong Hong; Caccetta, Louis

doi:10.1007/s10114-016-4799-6

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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.