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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 P1 finite element method applied to this problem. Finally, we propose numerical simulations in easy examples.
Year of publication:
2011
Authors: Najib, Khalid ; Rosier, Carole
Published in:
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 81.2011, 10, p. 2282-2295
Publisher: Elsevier
Subject: Degenerate elliptic–parabolic system | Seawater intrusion problem | Finite element method | FreeFem
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10010748555
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