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Large time stability of the solution of a filtration problem

Large time stability of the solution of a filtration problem We discuss a filtration problem in a bounded one-dimensional porous medium. Suppose that the volumetric moisture content at the surface is constant, and the bottom is impermeable. We prove that the solution will tend uniformly to a stable solution of the filtration equation as time tends to infinity. An explicit expression of the limiting profile is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Large time stability of the solution of a filtration problem

Huang, Zhida
Acta Mathematicae Applicatae Sinica , Volume 5 (3) – Jul 13, 2005
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References (4)

Publisher
Springer Journals
Copyright
Copyright © 1989 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02006003
Publisher site
See Article on Publisher Site

Abstract

We discuss a filtration problem in a bounded one-dimensional porous medium. Suppose that the volumetric moisture content at the surface is constant, and the bottom is impermeable. We prove that the solution will tend uniformly to a stable solution of the filtration equation as time tends to infinity. An explicit expression of the limiting profile is given.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 13, 2005

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