Existence of solutions for a degenerate seawater intrusion problem

Abstract

We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation. Existence results of weak solutions, under realistic assumptions, are established through time discretization combined with parabolic regularization.

Keywords

• Seawater intrusion
• elliptic-parabolic system
• degenerate equations
• existence result.