Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-14T07:26:40.456Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)