Advances in Differential Equations

The dam problem for linear Darcy's law and nonlinear leaky boundary conditions

M. Chipot and A. Lyaghfouri

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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.

Article information

Source
Adv. Differential Equations Volume 3, Number 1 (1998), 1-50.

Dates
First available in Project Euclid: 19 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366399904

Mathematical Reviews number (MathSciNet)
MR1608073

Zentralblatt MATH identifier
0947.35177

Subjects
Primary: 35R35: Free boundary problems
Secondary: 35Q35: PDEs in connection with fluid mechanics 76S05: Flows in porous media; filtration; seepage

Citation

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.


Export citation