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Article type: Research Article
Authors: Bayada, Guy; | Chupin, Laurent | Grec, Bérénice;
Affiliations: INSA-Lyon, Institut Camille Jordan, CNRS UMR 5208 | INSA-Lyon, LAMCOS, CNRS UMR 5259 | Ecole Centrale de Lyon, Institut Camille Jordan, CNRS UMR 5208
Note: [] Address for correspondence: Batiment Léonard de Vinci, 21, Avenue Jean Capelle 69 621 Villeurbanne Cedex, France. Tel.: +33 4 72 43 70 40; Fax: +33 4 72 43 85 29; E-mail: berenice.grec@insa-lyon.fr
Abstract: The present paper deals with non-Newtonian viscoelastic flows of Oldroyd-B type in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier–Stokes/Oldroyd-B system towards the asymptotic model.
Keywords: viscoelastic fluids, thin film, Oldroyd model, lubrication flow, asymptotic analysis
DOI: 10.3233/ASY-2009-0940
Journal: Asymptotic Analysis, vol. 64, no. 3-4, pp. 185-211, 2009
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