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Viscoelastic fluids in a thin domain
Author(s):
G.
Bayada;
L.
Chupin;
S.
Martin
Journal:
Quart. Appl. Math.
65
(2007),
625-651.
MSC (2000):
Primary 76A10, 35B40
Posted:
October 19, 2007
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Abstract:
The present paper deals with viscoelastic flows in a thin domain. In particular, we derive and analyse the asymptotic equations of the Stokes-Oldroyd system in thin films (including shear effects). We present a numerical method which solves the corresponding problem and we present some related numerical tests which evidence the effects of the elastic contribution on the flow.
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Additional Information:
G.
Bayada
Affiliation:
INSA-Lyon, CNRS UMR 5208 (Institut Camille Jordan) & CNRS UMR 5514 (LAMCOS), Bât. Léonard de Vinci, 21~avenue Jean Capelle, F-69621 Villeurbanne Cedex, France
Email:
guy.bayada@insa-lyon.fr
L.
Chupin
Affiliation:
INSA-Lyon, CNRS UMR 5208 (Institut Camille Jordan), Bât. Léonard de Vinci, 21~avenue Jean Capelle, F-69621 Villeurbanne Cedex, France
Email:
laurent.chupin@insa-lyon.fr
S.
Martin
Affiliation:
INSA-Lyon, CNRS UMR 5208 (Institut Camille Jordan), Bât. Léonard de Vinci, 21~avenue Jean Capelle, F-69621 Villeurbanne Cedex, France
Email:
sebastien.martin@insa-lyon.fr
PII:
S0033-569X-07-01062-X
Received by editor(s):
February 9, 2006
Posted:
October 19, 2007
Copyright of article:
Copyright
2007,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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