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

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.

Keywords:

• Weak solutions
• strongly coupled system
• entropy estimate
• non-negative solutions
• seawater intrusion

2010 Mathematics Subject Classifications:

• 35K55
• 35K65

Disclosure statement

No potential conflict of interest was reported by the authors.