Electron. J. Diff. Eqns., Vol. 2005(2005), No. 72, pp. 1-14.

Existence of solutions for a degenerate seawater intrusion problem

Mohamed El Alaoui Talibi, Moulay Hicham Tber

Abstract:
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation. Existence results of weak solutions, under realistic assumptions, are established through time discretization combined with parabolic regularization.

Submitted November 1, 2004. Published June 30, 2005.
Math Subject Classifications: 35K60, 35K65, 76S05, 76T05.
Key Words: Seawater intrusion; elliptic-parabolic system; degenerate equations; existence result.

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Mohamed El Alaoui Talibi
Departement de Mathématiques
Faculté des Sciences Semlalia, Maroc
email: elalaoui@ucam.ac.ma
Moulay Hicham Tber
Departement de Mathématiques
Faculté des Sciences Semlalia, Maroc
email: hicham.tber@ucam.ac.ma

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