Uniqueness of solution of a nonlinear evolution dam problem in a heterogeneous porous medium

Abstract

By choosing convenient test functions and using the method of doubling variables, we prove the uniqueness of the solution to a nonlinear evolution dam problem in an arbitrary heterogeneous porous medium of \(\mathbb{R}^n\) (\(n\in \{2,3\}\)) with an impermeable horizontal bottom.

Keywords

• test function
• method of doubling variables
• nonlinear evolution dam problem
• heterogeneous porous medium
• uniqueness