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

A. Lyaghfouri

doi:10.1007/s005260050082

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

A. Lyaghfouri

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

10 Citations (Scopus)

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 semipermeability 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.

Original language	English
Pages (from-to)	67-94
Number of pages	28
Journal	Calculus of Variations and Partial Differential Equations
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/s005260050082
Publication status	Published - 1997
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s005260050082

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

Abstract

ASJC Scopus subject areas

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