Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 25, pp. 1-10.

Title: Stability of the interface between two immiscible fluids in porous media

Authors: Cerasela I. Calugaru (Univ. de Franche-Comte, France)
         Dan-Gabriel Calugaru (Univ. de Franche-Comte, France)
         Jean-Marie Crolet (Univ. de Franche-Comte, France)
	 Michel Panfilov (INP de Lorraine, France)

Abstract: 
  A generalized model has been recently proposed in [3]
 to describe deformations of the mobile interface separating two
 immiscible and compressible fluids in a deformable porous medium.
 This paper deals with a few applications of this model in
 realistic situations where it can be supposed that gravity
 perturbations are propagating much slower than elastic
 perturbations. Among these applications, one can include the
 classical well-known case of groundwater flow with free surface,
 but also more complex phenomena, as gravitational instability with
 finger growth.
 
Submitted January 20, 2003. Published March 10, 2003.
Math Subject Classifications: 76B15, 35R35, 76T05.
Key Words: porous media; two-phase flow; interface; instability.