Advances in Differential Equations

A filtration problem with nonlinear Darcy's law and generalized boundary conditions

J. Carrillo and A. Lyaghfouri

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Abstract

We prove the existence of solutions for a filtration problem related to an incompressible flow governed by a nonlinear Darcy's law. Generalized boundary conditions are allowed. Bounded and unbounded domains are considered.

Article information

Source
Adv. Differential Equations Volume 5, Number 4-6 (2000), 515-555.

Dates
First available in Project Euclid: 27 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1356651339

Mathematical Reviews number (MathSciNet)
MR1750110

Zentralblatt MATH identifier
0999.35112

Subjects
Primary: 35R35: Free boundary problems
Secondary: 76S05: Flows in porous media; filtration; seepage

Citation

Carrillo, J.; Lyaghfouri, A. A filtration problem with nonlinear Darcy's law and generalized boundary conditions. Adv. Differential Equations 5 (2000), no. 4-6, 515--555. https://projecteuclid.org/euclid.ade/1356651339.


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