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 Cet article a éte moissonné depuis la source Library of Science

Voir la notice de l'article

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 
@article{IJAMCS_1999_9_2_a7,
     author = {Awbi, B. and Selmani, L. and Sofonea, M.},
     title = {Variational {Analysis} of a {Frictional} {Contact} {Problem} for the {Bingham} {Fluid}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {371--385},
     year = {1999},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a7/}
}
TY  - JOUR
AU  - Awbi, B.
AU  - Selmani, L.
AU  - Sofonea, M.
TI  - Variational Analysis of a Frictional Contact Problem for the Bingham Fluid
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 1999
SP  - 371
EP  - 385
VL  - 9
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a7/
LA  - en
ID  - IJAMCS_1999_9_2_a7
ER  - 
%0 Journal Article
%A Awbi, B.
%A Selmani, L.
%A Sofonea, M.
%T Variational Analysis of a Frictional Contact Problem for the Bingham Fluid
%J International Journal of Applied Mathematics and Computer Science
%D 1999
%P 371-385
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a7/
%G en
%F IJAMCS_1999_9_2_a7
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/