A blow-up criterion for compressible viscous heat-conductive flows

Details A blow-up criterion for compressible viscous heat-conductive flows A blow-up criterion for compressible viscous heat-conductive flows

2010-06-12

arxiv.org/abs/1006.2429v1

Mathematics

Analysis of PDEs

Accepted by Acta Mathematica Scientia

Scientific paper

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.

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