Blow-up Criteria for the 2D Full Compressible MHD system

Abstract

In this paper, two blow-up criteria of a strong solution to the two-dimensional full compressible magnetohydrodynamic (MHD) system on a bounded smooth domainare established. We obtain that ifor, then the strong solutioncan be continued beyond T. In addition, the initial vacuum is allowed in our case.

Keywords:

• full compressible MHD system
• blow-up criteria
• strong solution

AMS Subject Classifications:

• 35Q35
• 76W05
• 35B65

Acknowledgments

The research of B. Yuan was partially supported by the National Natural Science Foundation of China (No. 11071057), Innovation Scientists and Technicians Troop Construction Projects of Henan Province (No. 104100510015).