Existence of solutions for a degenerate seawater intrusion problem

Electronic Journal of Differential Equations

Volumn 2005, Issue , 2005, Pages

  El Alaoui Talibi, Mohamed ^a   Tber, Moulay Hicham ^a  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Degenerate equations; Elliptic parabolic system; Existence result; Seawater intrusion

Indexed keywords

EID: 23244446399     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. H. W. Alt and S.Lukhauss; Quasilinear elliptic-parabolic equations, Math.Z. 183, pp. 311-341, 1983.
2. B. Amziane, A. Bourgeat and H. El Amri; Un résultat d'existence pour un modèle d'écoulement diphasique dans un milieu poreux à plusieurs types de roches. Publication du Laboratoire d'Analyse Numérique No. 90-17, Université de Pau, 1990.
3. S. N. Antonsev, A. V. Kazhikov and V. N. Monakhov; Boundary value problems in mechanics of nonhomogeous fluids. Studies in mathematics and its applications, Vol. 22, North-Holland, Amsterdam, 1990.
4. T. Arbogast; The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow, Nonlinear Analysis, Theory, Methods and Applications, Vol 19, No. 11, pp. 1009-1031, 1992.
5. J. Bear, A. H-D.Cheng, S. Sorek, D. Ouazar and I. Herrera (Eds.); Seawater Intrusion in Coastal Aquifers - Concepts, Methods and Practices, Kluwer Academic Publishers, Netherlands, 1999.
6. J. Bear, A. Verruijt; Modelling groundwater flow and pollution, D.Reidel Publishing Company, Dordecht, Holland, 1987.
7. H. Brezis; Opératurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Mathematics studies, 1973.
8. G. Chavent and J. Jaffré; Mathematical models and finite elements for reservoir simulation. Studies in mathematics and its applications, Vol. 17, North-Holland, Amsterdam, 1986.
9. Z. Chen and R. Ewing; Mathematical analysis for reservoir models, SIAM J. Math Anal., 30(2) (1999) 431-453.
10. M. El Alaoui Talibi, M. H. Tber; identification of the transmissivities in seawater intrusion problem, submitted for publication.
11. H. I. Essaid; A quasi-three dimensional finite difference model to simulate freshwater and saltwater flow in layered coastal aquifer systems, U.S Geological survey Water-Ressources Investigations, Report 90-4130. Menlo Park, California, 1990.
12. G. Gagneux and M. Madune-Tort; Analyse mathéatique de modèles non linéaires de l'ingenieurie pétroliére. Springer 1996.
13. A. Hidani; Modélisation des écoulements diphasiques en milieux poreux ̀ plusieurs types de roches. Thèse de Doctorat, Université de Saint-Atienne, 1993.
14. D. Kroener and S. Luckhauss; Flow of oil and water in porous medium. J. of Differential Equations 55, pp. 276-288, 1984.