Uniqueness of solution for a nonlinear heterogeneous evolution dam problem

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 IR^n (n≥2) with an impermeable horizontal bottom.

• uniqueness of solutions
• benchmark functions
• free boundary problem
• nonlinear parabolic equations

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