Author:
Alkhayal Jana,Issa Samar,Jazar Mustapha,Monneau Régis
Abstract
In this paper we study a degenerate parabolic system, which is strongly coupled. We prove general existence result, but the uniqueness question remains open. Our proof of existence is based on a crucial entropy estimate which controls the gradient of the solution together with its non-negativity. Our system is of porous medium type which is applicable to models in seawater intrusion.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
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