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A blow-up criterion for compressible viscous heat-conductive flows |
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| Authors: | Jiang Song Ou Yaobin |
| Institution: | a LCP, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China |
| 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. |
| Keywords: | blow-up criteria strong solutions compressible Navier-Stokes equations heat-conductive flows2000 MR Subject Classification: 76N10 35M10 35Q30 |
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