Variational Analysis of a Frictional Contact Problem for the Bingham Fluid

• Autorzy: Awbi B. , Selmani L. , Sofonea M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Bingham fluid; damped response; Coulomb's friction law; quasi-variational inequality; weak solution

PL

płyn binghamowski; prawo Coulomba; nierówność wariacyjna; rozwiązanie słabe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 1999
• Tom: Vol. 9, no 2
• Strony: 371--385
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Awbi B.

autor

Selmani L.

autor

Sofonea M.

• Laboratoire de Theorie des Systemes Universite de Perpignan, 52 Avenue deVilleneuve, 66860 Perpignan Cedex, France,