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arXiv · 1308.0746

Global Regularity for some Oldroyd-B type Models

Tarek M. Elgindi·Frederic Rousset
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Abstract

We investigate some critical models for visco-elastic flows of Oldroyd-B type in dimension two. We use a transformation which exploits the Oldroyd-B structure to prove an L^\infty bound on the vorticity which allows us to prove global regularity for our systems.

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Tarek M. Elgindi, Frederic Rousset. 2013-08-03. Global Regularity for some Oldroyd-B type Models. https://arxiv.org/abs/1308.0746

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