A blow-up criterion for 3D compressible viscoelastic flow with large initial data |
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Authors: | Shengquan Liu Junning Zhao |
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Institution: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR China |
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Abstract: | In this paper, we consider a Cauchy problem for the three-dimensional compressible viscoelastic flow with large initial data. We establish a blow-up criterion for the strong solutions in terms of the gradient of velocity only, which is similar to the Beale-Kato-Majda criterion for ideal incompressible flow (cf. Beale et al. (1984) 20]) and the blow-up criterion for the compressible Navier-Stokes equations (cf. Huang et al. (2011) 21]). |
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Keywords: | 35Q35 76A10 76N10 |
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