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math.AP2020
Uniqueness of solution for a nonlinear heterogeneous evolution dam problem
Messaouda Ben Attia, Elmehdi Zaouche, Mahmoud Bousselsal
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 heter…
math.AP2018
Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium
Elmehdi Zaouche
This paper is concerned with an uniqueness of solution of the weak formulation of an evolution dam problem related to a compressible fluid flow through a two-dimensional, rectangul…
math.AP2015
Uniqueness of Solution of the Unsteady Filtration Problem in Heterogeneous Porous Media
Abdeslem Lyaghfouri, El Mehdi Zaouche
We establish uniqueness of the solution of the unsteady state dam problem in the heterogeneous and rectangular case assuming the dam wet at the bottom and dry near to the top.