One new blow-up criterion for the two-dimensional full compressible magnetohydrodynamic equations

摘要

This paper concerns the blow-up criterion for two-dimensional (2D) viscous, compressible, and heat conducting magnetohydrodynamic(MHD) flows. When the magnetic field H satisfies the perfect conducting boundary condition H center dot n = curl H = 0, we prove that for the initial boundary value problem of the two-dimensional full compressible MHD flows with initial density allowed to vanish, the strong solution exists globally provided IIHIIL infinity(0,T; Lb) + IIdivuIIL1(0,T; L infinity) < infinity for any b > 2.

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