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.