Blow-up Criteria of Classical Solutions of Three-Dimensional Compressible Magnetohydrodynamic Equations
- 65 Downloads
In this paper we consider the isentropic compressible magnetohydrodynamic equations in three space dimensions, and establish a blow-up criterion of classical solutions, which depends on the gradient of the velocity and magnetic field.
KeywordsMagnetohydrodynamic (MHD) Blow up Isentropic
Mathematics Subject Classification (2010)35B45 35L65 35Q60 76N10
The work was supported by the National Natural Science Foundation of China (No. 11671075 and No. 11571227). The author therefore acknowledge with thanks National Natural Science Foundation of China for technical and financial support.