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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.
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Tom
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371--385
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Bibliogr. 18 poz.
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- Laboratoire de Theorie des Systemes Universite de Perpignan, 52 Avenue deVilleneuve, 66860 Perpignan Cedex, France, awbi@univ-perp.fr
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bwmeta1.element.baztech-article-BPZ1-0015-0018