A degenerate parabolic system for three-phase flows in porous media
V. V. Shelukhin · Annales mathématiques Blaise Pascal · 2007
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.