Articles

A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS

  • JIANG Song ,
  • OU Yao-Bin
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  • LCP, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China

Received date: 2010-03-08

  Online published: 2010-11-20

Supported by

The research of Ou is partially supported by the China Postdoctoral Science Foundation (20090450333). Jiang is supported by the National Basic Research Program (2005CB321700) and NSFC (40890154).

Abstract

We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the local strong solutions in terms of the gradient of the velocity only, which coincides with the famous Beale-Kato-Majda criterion for ideal incompressible flows.

Cite this article

JIANG Song , OU Yao-Bin . A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS[J]. Acta mathematica scientia, Series B, 2010 , 30(6) : 1851 -1864 . DOI: 10.1016/S0252-9602(10)60178-6

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