# American Institute of Mathematical Sciences

May  2012, 11(3): 1167-1183. doi: 10.3934/cpaa.2012.11.1167

## A blow-up criterion for the 3D compressible MHD equations

 1 Department of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, 510275, China, China 2 Department of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China 3 Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275

Received  December 2010 Revised  April 2011 Published  December 2011

In this paper, we study the 3D compressible magnetohydrodynamic equations. We extend the well-known Serrin's blow-up criterion(see [32]) for the 3D incompressible Navier-Stokes equations to the 3D compressible magnetohydrodynamic equations. In addition, initial vacuum is allowed in our case.
Citation: Ming Lu, Yi Du, Zheng-An Yao, Zujin Zhang. A blow-up criterion for the 3D compressible MHD equations. Communications on Pure & Applied Analysis, 2012, 11 (3) : 1167-1183. doi: 10.3934/cpaa.2012.11.1167
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##### References:
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