Advances in Differential Equations
- Adv. Differential Equations
- Volume 3, Number 1 (1998), 1-50.
The dam problem for linear Darcy's law and nonlinear leaky boundary conditions
Starting from the model proposed in , 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.
Adv. Differential Equations, Volume 3, Number 1 (1998), 1-50.
First available in Project Euclid: 19 April 2013
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Chipot, M.; Lyaghfouri, A. The dam problem for linear Darcy's law and nonlinear leaky boundary conditions. Adv. Differential Equations 3 (1998), no. 1, 1--50. https://projecteuclid.org/euclid.ade/1366399904