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arXiv · 1202.3693

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

Yi Du·Chun Liu·QingTian Zhang
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Abstract

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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Yi Du, Chun Liu, QingTian Zhang. 2012-02-16. A blow-up criterion for 3-D compressible visco-elasticity. https://arxiv.org/abs/1202.3693

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