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

2010/06/12 by Jiang, Song, Ou, Yaobin · 1 citation
#35M10 #35Q30 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1006.2429

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.

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• Blow-up criterion for the compressible Navier--Stokes system with inflow-outflow boundary conditions

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