Energy solutions for polymer aqueous solutions in two dimension
Analysis of PDEs
2007-05-23 v1
Abstract
The aim of this article is to study a nonlinear system modeling a Non-Newtonian fluid of polymer aqueous solutions. We are interested here in the existence of weak solutions for the stationary problem in a bounded plane domain or in two-dimensional exterior domain. Due to the third order of derivatives in the non-linear term, it's difficult to obtain solution satisfying energy inequality. But with a good choice of boundary conditions, an adapt special basis and the use of the good properties of the trilinear form associated to the non-linear term, we obtain energy solutions. The problem in bounded domain is treated and the more difficult problem on non bounded domain too.
Cite
@article{arxiv.0704.2363,
title = {Energy solutions for polymer aqueous solutions in two dimension},
author = {Chérif Amrouche and El-Hacene E. H Ouazar},
journal= {arXiv preprint arXiv:0704.2363},
year = {2007}
}