Creator:

Awbi, Bassam ; Selmani, Lynda ; Sofonea, Mircea

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Variational analysis of a frictional contact problem for the Bingham fluid

Group publication title:

AMCS, volume 9 (1999)

Subject and Keywords:

Bingham fluid ; damped response ; Coulomb's friction law ; quasivariational inequality ; weak solution

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

1999

Resource Type:

artykuł

Pages:

371-385

Source:

AMCS, volume 9, number 2 (1999) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego