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Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations

Published online by Cambridge University Press:  11 February 2011

Fucai Li  and
Hongjun Yu
Fucai Li
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China (fli@nju.edu.cn)
Hongjun Yu
Affiliation:
School of Mathematical Science, South China Normal University, Guangzhou 510631, People's Republic of China (yuhj2002@sina.com)
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Abstract

The three-dimensional compressible magnetohydrodynamic equation in the whole space are studied in this paper. The global classical solution is established when the initial data are small perturbations of some given constant state. Moreover, the optimal decay rate of the solution is also obtained.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 109 - 126
Copyright
Copyright © Royal Society of Edinburgh 2011

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