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Blow-up criterion for three-dimensional compressible viscoelastic fluids with vacuum
Authors:Sheng Quan Liu  Jun Ning Zhao
Affiliation:11569. School of Mathematics, Liaoning University, Shenyang, 110036, P. R. China
21569. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
Abstract:In this paper, we study a Cauchy problem for the equations of 3D compressible viscoelastic fluids with vacuum. We establish a blow-up criterion for the local strong solutions in terms of the upper bound of the density and deformation gradient.
Keywords:Compressible viscoelastic fluids   strong solutions   vacuum   blow-up criterion
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