1998 The dam problem for linear Darcy's law and nonlinear leaky boundary conditions
M. Chipot, A. Lyaghfouri
Adv. Differential Equations 3(1): 1-50 (1998). DOI: 10.57262/ade/1366399904

Abstract

Starting from the model proposed in [15], we study a stationary flow of fluid, governed by a linear Darcy's law, through an inhomogeneous porous medium with leaky boundary conditions. We establish properties of solutions and regularity of the free boundary. Finally, we prove a comparison result from which we deduce some uniqueness results.

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M. Chipot. A. Lyaghfouri. "The dam problem for linear Darcy's law and nonlinear leaky boundary conditions." Adv. Differential Equations 3 (1) 1 - 50, 1998. https://doi.org/10.57262/ade/1366399904

Information

Published: 1998
First available in Project Euclid: 19 April 2013

zbMATH: 0947.35177
MathSciNet: MR1608073
Digital Object Identifier: 10.57262/ade/1366399904

Subjects:
Primary: 35R35
Secondary: 35Q35 , 76S05

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.3 • No. 1 • 1998
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