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ON A LUBRICATION PROBLEM WITH FOURIER AND TRESCA BOUNDARY CONDITIONS

MAHDI BOUKROUCHE

EA-3058, Équipe d'Analyse Numérique 23 rue du Dr Paul Michelon, Saint-Etienne, 42023, France

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and

GRZEGORZ ŁUKASZEWICZ

Mathematics Department, University of Warsaw, ul.Banacha 2, 02-097 Warsaw, Poland

Corresponding author.

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https://doi.org/10.1142/S0218202504003490Cited by:23 (Source: Crossref)

Abstract

The asymptotic behavior of a Stokes flow with Fourier boundary condition on one part on the boundary and Tresca free boundary friction condition on the other, when one dimension of the fluid domain tends to zero is studied. The strong convergence of the velocity is proved, a specific Reynolds equation is obtained, and the uniqueness of the limit velocity and pressure distributions is established.

Keywords:

AMSC: 35R35, 76D07, 76B03

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