Skip to main content
SpringerLink
Log in

On the uniqueness of the solution of a nonlinear filtration problem through a porous medium

  • Published:
Calculus of Variations and Partial Differential Equations Aims and scope Submit manuscript

Abstract.

The purpose of this work is to study a fluid flow through a porous medium governed by a nonlinear Darcy's law. We also impose a nonlinear semi-permeability condition on some part of the boundary of this medium. The main results are the continuity of the free boundary and the uniqueness of the solution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik der Universität Zürich-Irchel, Winterthurerstr. 190, CH-8057 Zürich, Switzerland; E-mail: lyagh@amath.unizh.ch , , , , , , CH

    A. Lyaghfouri

Authors
  1. A. Lyaghfouri
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received May 5, 1996 / In a revised form November 16, 1996 / Accepted December 17, 1996

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyaghfouri, A. On the uniqueness of the solution of a nonlinear filtration problem through a porous medium . Calc Var 6, 67–94 (1997). https://doi.org/10.1007/s005260050082

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s005260050082

Search

Navigation