A BLOW-UP CRITERION FOR 3-D NON-RESISTIVE COMPRESSIBLE HEAT-CONDUCTIVE MAGNETOHYDRODYNAMIC EQUATIONS#br#
WITH INITIAL VACUUM

doi:10.1016/S0252-9602(12)60147-7

Abstract

Abstract:

In this paper, we prove a blow-up criterion of strong solutions to the 3-D vis-cous and non-resistive magnetohydrodynamic equations for compressible heat-conducting flows with initial vacuum. This blow-up criterion depends only on the gradient of velocity and the temperature, which is similar to the one for compressible Navier-Stokes equations.

Key words: compressible magnetohydrodynamics, blow-up criterion, vacuum, zero resis-tivity, heat-conducting flows

CLC Number:

76W05

XU Xin-Ying. A BLOW-UP CRITERION FOR 3-D NON-RESISTIVE COMPRESSIBLE HEAT-CONDUCTIVE MAGNETOHYDRODYNAMIC EQUATIONS#br# WITH INITIAL VACUUM[J].Acta mathematica scientia,Series B, 2012, 32(5): 1883-1900.

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A BLOW-UP CRITERION FOR 3-D NON-RESISTIVE COMPRESSIBLE HEAT-CONDUCTIVE MAGNETOHYDRODYNAMIC EQUATIONS#br# WITH INITIAL VACUUM

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