Viscoelastic fluids in thin domains: a mathematical proof
Analysis of PDEs
2010-11-10 v1
Abstract
The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B tye in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier-Stokes/Oldroyd-B sytem towards the asymptotic model.
Cite
@article{arxiv.0811.3331,
title = {Viscoelastic fluids in thin domains: a mathematical proof},
author = {Guy Bayada and Laurent Chupin and Bérénice Grec},
journal= {arXiv preprint arXiv:0811.3331},
year = {2010}
}