Viscoelastic Flows In A Rough Channel: A Multiscale Analysis
Analysis of PDEs
2015-03-12 v1
Abstract
In this paper, we consider viscoelastic flows in a rough domain (with typical roughness patterns of size < 1). We present and rigorously justify an asymptotic expansion with respect to , at any order, based upon the definition of elementary problems: Oldroyd-type problems at the global scale defined on a smoothened domain and boundary-layer corrector problems. The resulting analysis guarantees optimality with respect to the truncation error.
Keywords
Cite
@article{arxiv.1503.03356,
title = {Viscoelastic Flows In A Rough Channel: A Multiscale Analysis},
author = {Laurent Chupin and Sébastien Martin},
journal= {arXiv preprint arXiv:1503.03356},
year = {2015}
}