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

作　　者：徐新英 

机构地区：[1]School of Mathematical Sciences,Capital Normal University [2]School of Mathematical Sciences,Xiamen University

出　　处：《Acta Mathematica Scientia》2012年第5期1883-1900,共18页数学物理学报（B辑英文版）

基　　金：supported by NSFC (11171228,10801111,10971171);the fundamental Research Funds for the Central University (2010121006);the Natural Science Foundation of Fujian Province of China (2010J05011)

摘　　要：In this paper,we prove a blow-up criterion of strong solutions to the 3-D viscous 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.In this paper,we prove a blow-up criterion of strong solutions to the 3-D viscous 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.

关 键 词：compressible magnetohydrodynamics blow-up criterion VACUUM zero resistivity heat-conducting flows 

分 类 号：O175[理学—数学]