Geodesic
Variational Analysis of a Frictional Contact Problem for the Bingham Fluid
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 371-385.

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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, quasi-variational inequality, weak solution
Mots-clés : płyn binghamowski, prawo Coulomba, nierówność wariacyjna, rozwiązanie słabe 
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     title = {Variational {Analysis} of a {Frictional} {Contact} {Problem} for the {Bingham} {Fluid}},
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Awbi, B.; Selmani, L.; Sofonea, M. Variational Analysis of a Frictional Contact Problem for the Bingham Fluid. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 371-385. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a7/