On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions |
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| Authors: | Guy Bayada |
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| Affiliation: | a UMR 5585 and 5514 LMC-INSA, 401, Villeurbanne 69621, France
b UMR 5585 and Upres-EA 3058, 23 rue Dr. Paul Michelon, Saint Etienne 42023, France |
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| Abstract: | The asymptotic behaviour of a Stokes flow with Tresca free boundary friction conditions when one dimension of the fluid domain tends to zero is studied. A specific Reynolds equation associated with variational inequalities is obtained and uniqueness is proved. |
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| Keywords: | Free boundary problems Asymptotic approach Reynolds equation Tresca fluid slide condition Lubrication |
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