A free boundary problem for a fluid flow in a heterogeneous porous medium

A. Lyaghfouri

doi:10.1007/BF02844918

A free boundary problem for a fluid flow in a heterogeneous porous medium

A. Lyaghfouri

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper we study the problem of seepage of a fluid through a porous medium, assuming the flow governed by a nonlinear Darcy law and nonlinear leaky boundary conditions. We prove the continuity of the free boundary and the existence and uniqueness of minimal and maximal solutions. We also prove the uniqueness of the S₃-connected solution in various situations.

Original language	English
Pages (from-to)	209-262
Number of pages	54
Journal	Annali dell'Universita di Ferrara
Volume	49
Issue number	1
DOIs	https://doi.org/10.1007/BF02844918
Publication status	Published - 2003
Externally published	Yes

Keywords

Dam Problem
Free Boundary
Nonlinear Darcy's law
Nonlinear Leaky Boundary Conditions

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02844918

Cite this

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AB - In this paper we study the problem of seepage of a fluid through a porous medium, assuming the flow governed by a nonlinear Darcy law and nonlinear leaky boundary conditions. We prove the continuity of the free boundary and the existence and uniqueness of minimal and maximal solutions. We also prove the uniqueness of the S3-connected solution in various situations.

KW - Dam Problem

KW - Free Boundary

KW - Nonlinear Darcy's law

KW - Nonlinear Leaky Boundary Conditions

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A free boundary problem for a fluid flow in a heterogeneous porous medium

Abstract

Keywords

ASJC Scopus subject areas

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