A blow-up criterion for compressible viscous heat-conductive flows |
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| Authors: | Jishan Fan Song Jiang Yaobin Ou |
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| Institution: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, PR China;2. LCP, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China |
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| Abstract: | We study an initial boundary value problem for the three-dimensional Navier–Stokes equations of viscous heat-conductive fluids in a bounded smooth domain. We establish a blow-up criterion for the local strong solutions in terms of the temperature and the gradient of velocity only, similar to the Beale–Kato–Majda criterion for ideal incompressible flows. |
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| Keywords: | 76N10 35M10 35Q30 |
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