Abstract and Applied Analysis
Volume 2005 (2005), Issue 8, Pages 813-854
doi:10.1155/AAA.2005.813

A free boundary problem describing the saturated-unsaturated flow in a porous medium. II: Existence of the free boundary in the 3D case

Gabriela Marinoschi

Institute of Mathematical Statistics and Applied Mathematics, P.O. Box 1-24, Bucharest, Romania

Abstract

We present an extension of the results given in the first part of this paper (2004) referring to the existence in the 3D case of a free boundary between the saturated and unsaturated domains that may be evidenced during the water flow into a porous medium.