Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844111 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 13 Pages |
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 solutions satisfying energy inequality. But with a good choice of boundary conditions, an adapted 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 domains is treated and the more difficult problem on non bounded domains too.
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Authors
C. Amrouche, E.H. Ouazar,