4.5 Article

On a free boundary problem for the Reynolds equation derived from the Stokes system with Tresca boundary conditions

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 282, Issue 1, Pages 212-231

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(03)00140-9

Keywords

free boundary problems; asymptotic approach; Reynolds equation; Tresca fluid slide condition; lubrication

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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. (C) 2003 Elsevier Science (USA). All rights reserved.

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