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Mathematics > Analysis of PDEs

arXiv:0704.2363 (math)
[Submitted on 18 Apr 2007]

Title:Energy solutions for polymer aqueous solutions in two dimension

Authors:Chérif Amrouche (LMA - PAU), El-Hacene E.H Ouazar
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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 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.
Comments: 20 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35D05, 35G30, 76D99
Cite as: arXiv:0704.2363 [math.AP]
  (or arXiv:0704.2363v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.0704.2363

Submission history

From: Marc Odunlami [view email] [via CCSD proxy]
[v1] Wed, 18 Apr 2007 14:51:47 UTC (24 KB)
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