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

被引：16

作者：

Najib, Khalid ^{[1
]}

Rosier, Carole ^{[2
,3
,4
]}

机构：

[1] Ecole Natl Ind Minerale, Rabat, Morocco

[2] Univ Lille Nord France, F-59000 Lille, France

[3] ULCO, LMPA J Liouville, F-62228 Calais, France

[4] CNRS FR 2956, Paris, France

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 10期

关键词：

Degenerate elliptic parabolic system; Seawater intrusion problem; Finite element method; FreeFem;

D O I：

10.1016/j.matcom.2010.12.026

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：2282 / 2295

页数：14

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