A blow-up criterion for 3-D compressible visco-elasticity
  In this paper, we shall prove a blow-up criteria in terms of the upper bound of the density, deformation tensor and the gradient of deformation tensor for 3D compressible visco-elasticity. Based on the structure of deformation tensor, we find a cancelation in higher order derivatives, which brings us the desired results. 
Yi Du, Chun Liu and QingTian Zhang
math.AP