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

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  • Najib, Khalid
  • Rosier, Carole

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.

Suggested Citation

  • Najib, Khalid & Rosier, Carole, 2011. "On the global existence for a degenerate elliptic–parabolic seawater intrusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2282-2295.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:10:p:2282-2295
    DOI: 10.1016/j.matcom.2010.12.026
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    Cited by:

    1. Abudawia, A. & Rosier, C., 2015. "Numerical analysis for a seawater intrusion problem in a confined aquifer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 2-16.

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