Energy solutions for polymer aqueous solutions in two dimension

dc.creatorAmrouche, Chérif
dc.creatorOuazar, El-Hacene E. H
dc.date2007-04-18
dc.date.accessioned2026-07-07T07:57:03Z
dc.date.available2026-07-07T07:57:03Z
dc.descriptionThe 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0704.2363
dc.identifierhttp://arxiv.org/abs/0704.2363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127540
dc.subjectAnalysis of PDEs
dc.subject35D05, 35G30, 76D99
dc.titleEnergy solutions for polymer aqueous solutions in two dimension
dc.typetext

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