On the global existence for a degenerate elliptic–parabolic seawater intrusion problem

Khalid Najib and Carole Rosier

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 2282-2295

Abstract: 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.

Keywords: Degenerate elliptic–parabolic system; Seawater intrusion problem; Finite element method; FreeFem (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:2282-2295

DOI: 10.1016/j.matcom.2010.12.026

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