A BLOW-UP CRITERION FOR THE 3D COMPRESSIBLE MHD EQUATIONS

作者:Lu, Ming; Du, Yi*; Yao, Zheng An; Zhang, Zujin
来源:Communications on Pure and Applied Analysis, 2012, 11(3): 1167-1183.
DOI:10.3934/cpaa.2012.11.1167

摘要

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.