Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 56, No. 1, pp. 1-37 (1999)

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The Evolution Dam Problem for Nonlinear Darcy's Law and Dirichlet Boundary Conditions

A. Lyaghfouri

Institut für Angewandte Mathematik der Universität Zürich-Irchel,
Winterthurerstr. 190, CH-8057 Zürich - SWITZERLAND

Abstract: In this paper, we study a time dependent dam problem modeling a nonlinear fluid flow through a homogeneous or nonhomogeneous porous medium governed by a nonlinear Darcy's law. We prove existence and uniqueness of a weak solution.

Classification (MSC2000): 35R35, 76S05.

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Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.

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