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

Song Jiang; Yaobin Ou

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arXiv · 1006.2429

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

Song Jiang·Yaobin Ou

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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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Song Jiang, Yaobin Ou. 2010-06-12. A blow-up criterion for compressible viscous heat-conductive flows. https://arxiv.org/abs/1006.2429

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