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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 10
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Articles

Global weak solutions for a degenerate parabolic system modelling seawater intrusion in confined aquifers

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Pages 1749-1764 | Received 05 Sep 2018, Accepted 01 Nov 2018, Published online: 15 Nov 2018
 

ABSTRACT

This article is devoted to prove the existence of a non-negative solution for a degenerate parabolic strongly coupled system which arises from seawater intrusion model in confined aquifers. An approximate linear discretized in time scheme is then set up yielding to the existence result with no restriction on the space dimension. The availability of an entropy estimate turns out to be a central tool to obtain the existence result.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

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