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

✍ Scribed by M. Chipot; A. Lyaghfouri

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 185 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199708)20:12<1045::aid-mma900>3.0.co;2-3

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✦ Synopsis

Communicated by G. F. Roach

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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