A degenerate parabolic system for three-phase flows in porous media
Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 2, pp. 243-254
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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,
author = {Shelukhin, Vladimir},
title = {A degenerate parabolic system for three-phase flows in porous media},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {243--254},
year = {2007},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {14},
number = {2},
doi = {10.5802/ambp.234},
zbl = {1156.35393},
mrnumber = {2369873},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.234/}
}
TY - JOUR AU - Shelukhin, Vladimir TI - A degenerate parabolic system for three-phase flows in porous media JO - Annales mathématiques Blaise Pascal PY - 2007 SP - 243 EP - 254 VL - 14 IS - 2 PB - Annales mathématiques Blaise Pascal UR - http://geodesic.mathdoc.fr/articles/10.5802/ambp.234/ DO - 10.5802/ambp.234 LA - en ID - AMBP_2007__14_2_243_0 ER -
%0 Journal Article %A Shelukhin, Vladimir %T A degenerate parabolic system for three-phase flows in porous media %J Annales mathématiques Blaise Pascal %D 2007 %P 243-254 %V 14 %N 2 %I Annales mathématiques Blaise Pascal %U http://geodesic.mathdoc.fr/articles/10.5802/ambp.234/ %R 10.5802/ambp.234 %G en %F AMBP_2007__14_2_243_0
Shelukhin, Vladimir. 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
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