2 papers
math.AP2024
Porosity of the Free Boundary in a Class of Higher-Dimensional Elliptic Problems
Abdeslem Lyaghfouri
We investigate a class of n-dimensional free boundary elliptic problems which includes the dam problem, the aluminum problem, and the lubrication problem. We establish that the fre…
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.