The dam problem for linear Darcy's law and nonlinear leaky boundary conditions
Michel Marie Chipot, Abdeslem Lyaghfouri · Advances in Differential Equations · 1998
Starting from the model proposed in [15], we study a stationary flow of fluid, governed by a linear Darcy's law, through an inhomogeneous porous medium with leaky boundary conditions. We establish properties of solutions and regularity of the free boundary. Finally, we prove a comparison result from which we deduce some uniqueness results.