Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 72, pp. 1-14.

Title: Existence of solutions for a degenerate seawater intrusion problem
       
Authors: Mohamed El Alaoui Talibi (Faculte des Sciences, Morocco)
         Moulay Hicham Tber       (Faculte des Sciences, Morocco)

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.