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The infiltration problem with large constant surface flux in partially saturated porous media

The infiltration problem with large constant surface flux in partially saturated porous media Infiltration problem with two kinds of degenerate cases is considered. After proving the existence of weak solution, we study when water contentc(u(·,t)) has compact support and how the solution behaves ast→∞. Moreover, we get existence and regularity of two kinds of free boundaries under some conditions on the initial date. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The infiltration problem with large constant surface flux in partially saturated porous media

Acta Mathematicae Applicatae Sinica , Volume 2 (4) – Apr 25, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1985 by Science Press and D. Reidel Publishing Company
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF01665848
Publisher site
See Article on Publisher Site

Abstract

Infiltration problem with two kinds of degenerate cases is considered. After proving the existence of weak solution, we study when water contentc(u(·,t)) has compact support and how the solution behaves ast→∞. Moreover, we get existence and regularity of two kinds of free boundaries under some conditions on the initial date.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 25, 2005

References