A blow-up criterion for 3-D compressible visco-elasticity

Mathematics – Analysis of PDEs

Scientific paper

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12papges, we made some improvement

Scientific paper

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.

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