A degenerate parabolic system for three-phase flows in porous media
Annales mathématiques Blaise Pascal, Volume 14 (2007) no. 2, p. 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.

@article{AMBP_2007__14_2_243_0,
title = {A degenerate parabolic system for three-phase flows in porous media},
journal = {Annales math\'ematiques Blaise Pascal},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {14},
number = {2},
year = {2007},
pages = {243-254},
doi = {10.5802/ambp.234},
mrnumber = {2369873},
zbl = {1156.35393},
language = {en},
url = {http://www.numdam.org/item/AMBP_2007__14_2_243_0}
}

Shelukhin, Vladimir. A degenerate parabolic system for three-phase flows in porous media. Annales mathématiques Blaise Pascal, Volume 14 (2007) no. 2, pp. 243-254. doi : 10.5802/ambp.234. http://www.numdam.org/item/AMBP_2007__14_2_243_0/

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