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Paper details
Number 2 - June 1999
Volume 9 - 1999
Variational analysis of a frictional contact problem for the Bingham fluid
Bassam Awbi, Lynda Selmani, Mircea Sofonea
Abstract
We consider a mathematical model which describes the flow of a Bingham fluid with friction. . We assume a stationary flow and we model the contact with damped response and a local version of Coulomb's law of friction. The problem leads to a quasi-variational inequality for the velocity field. We establish the existence of a weak solution and, under additional assumptions, its uniqueness. The proofs are based on a new result obtained in (Motreanu and Sofonea, 1999). We also establish the continuous dependence of the solution with respect to the contact conditions.
Keywords
Bingham fluid, damped response, Coulomb's friction law, quasivariational inequality, weak solution