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arxiv: 1202.3693 · v3 · pith:D3YERVGPnew · submitted 2012-02-16 · 🧮 math.AP

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

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keywords deformationtensorblow-upcompressiblevisco-elasticityboundbringscancelation
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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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