Blow-up criterion for compressible MHD equations

作者：Lu, Ming; Du, Yi^*; Yao, Zheng an

来源：Journal of Mathematical Analysis and Applications, 2011, 379(1): 425-438.

DOI：10.1016/j.jmaa.2011.01.043

• Blow-up criterion
• Strong solutions
• 3D compressible magnetohydrodynamic equations

In this paper, we study the 3D compressible magnetohydrodynamic equations. We obtain a blow up criterion for the local strong solutions just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion (see JT. Beal, T. Kato and A. Majda (1984) [1]) for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.

• 出版日期2011-7-1
• 单位中山大学; 华南师范大学