A1 - Awbi, Bassam
A1 - Selmani, Lynda
A1 - Sofonea, Mircea
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
KW - Bingham fluid
KW - damped response
KW - Coulomb's friction law
KW - quasivariational inequality
KW - weak solution
T1 - Variational analysis of a frictional contact problem for the Bingham fluid