Geodesic
An initial boundary-value problem for the equations of three-phase immiscible capillary flows in porous media
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 103-113 
V. V. Shelukhin. An initial boundary-value problem for the equations of three-phase immiscible capillary flows in porous media. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 103-113. http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A classical model for three phase capillary immiscible flows in a porous medium is considered. Capillarity pressure functions are found, with a corresponding diffusion-capillarity tensor being triangular. The model is reduced to a degenerate quasilinear parabolic system. A global existence theorem is proved under some hypotheses on the model data.

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