On the global existence for a degenerate elliptic-parabolic seawater intrusion problem
We studied a sharp interface model issuing from a seawater intrusion problem in a confined aquifer. This model consists in a coupled system of an elliptic and a de-generate parabolic equation. The global in time existence is obtained in using Schauder theorem combined with parabolic regularization. We establish a priori estimations for the PI finite element method applied to this problem. Finally, we propose numerical simulations in easy examples. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
seawater intrusion problem finite element method degenerate elliptic parabolic system freefem