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Three-dimensional solutions of nonlinear degenerate diffusion-convection processes

Published online by Cambridge University Press:  16 July 2009

Gérard Gagneux  and
Monique Madaune-Tort
Gérard Gagneux
Affiliation:
Université de Pau et C.N.R.S., Laboratoire de Mathématiques Appliquées, URA 1204–C.N.R.S., Avenue de l'Université, 64000 Pau, France
Monique Madaune-Tort
Affiliation:
Université de Pau et C.N.R.S., Laboratoire de Mathématiques Appliquées, URA 1204–C.N.R.S., Avenue de l'Université, 64000 Pau, France
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Abstract

The main objective of this work is to present, for practical use, some original results about several qualitative properties of the solutions of a large class of degenerate diffusion-convection equations arising from fluid mechanics. Current interest in models of the simultaneous motion of two immiscible incompressible liquids results from its significance for many applied fields such as, for instance, the theoretical modelling of oil reservoirs where the pores of a threedimensional porous medium contain some hydrocarbon component (oil). In secondary recovery, a second inexpensive fluid (water) is injected into the porous medium in order to push the oil towards the producing wells.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 2 , Issue 2 , June 1991 , pp. 171 - 187
Copyright
Copyright © Cambridge University Press 1991

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References

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