Communications in Mathematical Sciences
Volume 12 (2014)
Blow-up criterion for compressible visco-elasticity equations in three dimensional space
Pages: 473 – 484
In this paper, we prove a blow-up criterion for 3D compressible visco-elasticity in terms of the upper bound of the density and the deformation tensor. Due to the special structure of the equation, we get the cancellation to the derivatives of the density and transform tensor, which brings us the desired results.
3D visco-elasticity, compressible, blow-up criterion
2010 Mathematics Subject Classification