A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations

作者：Wang, Teng^*

来源：Nonlinear Analysis: Real World Applications , 2016, 31: 100-118.

DOI：10.1016/j.nonrwa.2016.01.011

• Compressible magnetohydrodynamic equations
• Regularity criterion
• Cauchy problem
• Vacuum

This paper establishes a regularity criterion of strong solutions to the two-dimensional compressible magnetohydrodynamic (MHD) flows. The criterion depends on the density, but is independent of the velocity and the magnetic field. More precisely, once the strong solutions blow up, the L-infinity-norm for the density tends to infinity. In particular, the vacuum in the solutions is allowed.

• 出版日期2016-10
• 单位北京林业大学