Energy solutions for polymer aqueous solutions in two dimension |
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Authors: | C. Amrouche E.H. Ouazar |
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Affiliation: | 1. Laboratoire de Mathématiques Appliquées, CNRS, UMR 51-42, Université de Pau et des Pays de l’Adour, 64000 Pau, France;2. Ecole Normale Supérieure de Kouba, Département de Mathématiques, Alger, Algérie |
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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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Keywords: | 35D05 35G30 76D99 |
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