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About a generalized Buckley-Leverett equation and lubrication multifluid flow

Published online by Cambridge University Press:  21 December 2006

GUY BAYADA ,
SÉBASTIEN MARTIN  and
CARLOS VÁZQUEZ
GUY BAYADA
Affiliation:
INSA Lyon/LAMCOS CNRS UMR 5514, 21 av. Jean Capelle, 69621 Villeurbanne cedex, France INSA Lyon/ICJ CNRS UMR 5208, 21 av. Jean Capelle, 69621 Villeurbanne cedex, France email: sebastien.martin@insa-lyon.fr
SÉBASTIEN MARTIN
Affiliation:
INSA Lyon/ICJ CNRS UMR 5208, 21 av. Jean Capelle, 69621 Villeurbanne cedex, France email: sebastien.martin@insa-lyon.fr
CARLOS VÁZQUEZ
Affiliation:
Dept. de Matemáticas, Universidade da Coruña, Campus Elviña, 15071-A Coruña, España
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Abstract

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In this paper, we analyse the asymptotic system corresponding to a thin film flow with two different (immiscible) fluids, from theoretical and numerical points of view. We also compare this model to the Elrod-Adams one, which is the reference model in tribology, when cavitation phenomena occur.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 17 , Issue 5 , October 2006 , pp. 491 - 524
Copyright
2006 Cambridge University Press