, Volume 28, Issue 1, pp 57-85

The dam problem with leaky boundary conditions

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

The goal of this paper is to study the fluid flow through a two-dimensional porous medium when we impose a leaky boundary condition. We show in particular that the situation is quite different from the one with the usual Dirichlet boundary condition.

Communicated by D. Kinderlehrer
This work was initiated at the Universidad Complutense in Madrid and at the University of Bonn. We would like to thank these institutions. We also thank the I.M.A. (University of Minnesota) for providing its support and a nice working atmosphere to the second author during the completion of this paper.