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

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.

• uniqueness of solutions
• benchmark functions
• free boundary problem

• Nonlinear Partial Differential Equations
• Differential Equations and Boundary Problems
• Advanced Mathematical Modeling in Engineering
• uniqueness of solutions
• benchmark functions
• free boundary problem
• Applied Mathematics
• Computational Theory and Mathematics
• Mathematics
• Computer Science