On nonstationary flow through porous media

H. W. Alt; S. Luckhaus; A. Visintin

doi:10.1007/BF01773387

On nonstationary flow through porous media

H. W. Alt, S. Luckhaus, A. Visintin

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85 Scopus citations

Abstract

Saturated-unsaturated flow of an incompressible fluid through a porous medium is considered in the case of time-dependent water levels. This corresponds to coupling the mass conservation law with a continuous constitutive condition between water content and pressure. An existence result for the corresponding weak formulation is proved. Finally we study the limit as the constitutive relation degenerates into a maximal monotone graph.

Original language	English
Pages (from-to)	303-316
Number of pages	14
Journal	Annali di Matematica Pura ed Applicata
Volume	136
Issue number	1
DOIs	https://doi.org/10.1007/BF01773387
State	Published - Dec 1984
Externally published	Yes

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AB - Saturated-unsaturated flow of an incompressible fluid through a porous medium is considered in the case of time-dependent water levels. This corresponds to coupling the mass conservation law with a continuous constitutive condition between water content and pressure. An existence result for the corresponding weak formulation is proved. Finally we study the limit as the constitutive relation degenerates into a maximal monotone graph.

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On nonstationary flow through porous media

Abstract

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