The dam problem for non-linear Darcy's laws and non-linear leaky boundary conditions

M. Chipot; A. Lyaghfouri

doi:10.1002/(SICI)1099-1476(199708)20:12<1045::AID-MMA900>3.0.CO;2-3

The dam problem for non-linear Darcy's laws and non-linear leaky boundary conditions

M. Chipot
, A. Lyaghfouri

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

20 Citations (Scopus)

Abstract

The goal of this paper is to establish that even for strongly non-linear Darcy's laws and strongly non-linear leaky boundary conditions on the bottom of the reservoirs the fluid flow through a porous dam is a well-posed problem for which existence of a solution can be established. In a simple case we provide also the exact solution to the problem.

Original language	English
Pages (from-to)	1045-1068
Number of pages	24
Journal	Mathematical Methods in the Applied Sciences
Volume	20
Issue number	12
DOIs	https://doi.org/10.1002/(SICI)1099-1476(199708)20:12<1045::AID-MMA900>3.0.CO;2-3
Publication status	Published - Aug 1997
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/(SICI)1099-1476(199708)20:12<1045::AID-MMA900>3.0.CO;2-3

Cite this

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AB - The goal of this paper is to establish that even for strongly non-linear Darcy's laws and strongly non-linear leaky boundary conditions on the bottom of the reservoirs the fluid flow through a porous dam is a well-posed problem for which existence of a solution can be established. In a simple case we provide also the exact solution to the problem.

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The dam problem for non-linear Darcy's laws and non-linear leaky boundary conditions

Abstract

ASJC Scopus subject areas

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