Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system

Xu, F.; Zhang, Xinguang; Wu, Yong Hong; Liu, Lishan

doi:10.1016/j.jmaa.2016.02.007

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Access Status

Open access

Authors

Xu, F.

Zhang, Xinguang

Wu, Yong Hong

Liu, Lishan

Date

2016

Type

Journal Article

Metadata

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Citation

Xu, F. and Zhang, X. and Wu, Y.H. and Liu, L. 2016. Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system. Journal of Mathematical Analysis and Applications. 438 (1): pp. 285-310.

Source Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2016.02.007

ISSN

0022-247X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/27233

Collection

Curtin Research Publications

Abstract

In this paper, we are concerned with the 3D compressible Hall-magnetohydrodynamic system in the whole space. We prove the global existence and temporal decay rates of the solutions to the system when the initial data are close to a stable equilibrium state by using a pure energy method.