A blow-up criterion of strong solutions to the 2D compressible magnetohydrodynamic equations

Abstract

This paper establishes a blow-up 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 $L^{\infty }$-norm for the density tends to infinity. In particular, the vacuum in the solutions is allowed.

20 pages. arXiv admin note: text overlap with arXiv:1402.4851, arXiv:1310.1673, arXiv:1210.5930 by other authors

References in corpus (1)

• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows