Annales Mathématiques
Blaise Pascal
no. 2
A degenerate parabolic system for three-phase flows in porous media
Vladimir Shelukhin1
1 Lavrentyev Institute of Hydrodynamics Av. Lavrentyev 15 Novosibirsk Russia
Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 2, pp. 243-254.

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.

DOI : 10.5802/ambp.234
Vladimir Shelukhin 1

1 Lavrentyev Institute of Hydrodynamics Av. Lavrentyev 15 Novosibirsk Russia 
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Vladimir Shelukhin. A degenerate parabolic system for three-phase flows in porous media. Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 2, pp. 243-254. doi : 10.5802/ambp.234. https://ambp.centre-mersenne.org/articles/10.5802/ambp.234/

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