The evolution dam problem for nonlinear Darcy's law and Dirichlet boundary conditions.
Abdeslem Lyaghfouri · Portugaliae Mathematica · 1999
In this paper, we study a time dependent dam problem modeling a non- linear ∞uid ∞ow through a homogeneous or nonhomogeneous porous medium governed by a nonlinear Darcy's law. We prove existence and uniqueness of a weak solution.