Electron. J. Diff. Eqns., Vol. 2006(2006), No. 83, pp. 1-19.

Singular perturbation problem for the incompressible Reynolds equation

Ionel Ciuperca, Imad Hafidi, Mohammed Jai

Abstract:
We study the asymptotic behavior of the solution of a Reynolds equation which describe the behavior of the fluid between two closes surfaces as the distance between the two surfaces locally tends to zero.

Submitted January 5, 2006. Published July 21, 2006.
Math Subject Classifications: 76D08, 35B25, 35B40.
Key Words: Reynolds lubrication equation; weighted Sobolev Spaces; variational inequality; singular perturbation analysis; maximum principle.

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Ionel Ciuperca
CNRS-UMR 5208 Université Lyon1, MAPLY, 101, 69622 Villeurbanne Cedex, France
email: ciuperca@maply.univ-lyon1.fr
Imad Hafidi
CNRS-UMR 5208, Insa de Lyon
Bat Léonard de Vinci, 69621, France
email: Imad.Hafidi@insa-lyon.fr
Mohammed Jai
CNRS-UMR 5208, Insa de Lyon
Bat Léonard de Vinci, 69621, France
email: Mohammed.Jai@insa-lyon.fr

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