A degenerate parabolic system for three-phase flows in porous media
- [1] Lavrentyev Institute of Hydrodynamics Av. Lavrentyev 15 Novosibirsk Russia
Annales mathématiques Blaise Pascal (2007)
- Volume: 14, Issue: 2, page 243-254
- ISSN: 1259-1734
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topShelukhin, Vladimir. "A degenerate parabolic system for three-phase flows in porous media." Annales mathématiques Blaise Pascal 14.2 (2007): 243-254. <http://eudml.org/doc/10547>.
@article{Shelukhin2007,
abstract = {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.},
affiliation = {Lavrentyev Institute of Hydrodynamics Av. Lavrentyev 15 Novosibirsk Russia},
author = {Shelukhin, Vladimir},
journal = {Annales mathématiques Blaise Pascal},
keywords = {capillary immiscible; diffusion-capillarity tensor; global existence},
language = {eng},
month = {7},
number = {2},
pages = {243-254},
publisher = {Annales mathématiques Blaise Pascal},
title = {A degenerate parabolic system for three-phase flows in porous media},
url = {http://eudml.org/doc/10547},
volume = {14},
year = {2007},
}
TY - JOUR
AU - Shelukhin, Vladimir
TI - A degenerate parabolic system for three-phase flows in porous media
JO - Annales mathématiques Blaise Pascal
DA - 2007/7//
PB - Annales mathématiques Blaise Pascal
VL - 14
IS - 2
SP - 243
EP - 254
AB - 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.
LA - eng
KW - capillary immiscible; diffusion-capillarity tensor; global existence
UR - http://eudml.org/doc/10547
ER -
References
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