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.

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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
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010748555