Global Regularity for some Oldroyd-B type Models
Analysis of PDEs
2013-08-06 v1
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.
Keywords
Cite
@article{arxiv.1308.0746,
title = {Global Regularity for some Oldroyd-B type Models},
author = {Tarek M. Elgindi and Frederic Rousset},
journal= {arXiv preprint arXiv:1308.0746},
year = {2013}
}