H. W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z, vol.183, issue.3, pp.311-341, 1983.

B. Andreianov, R. Eymard, M. Ghilani, and N. Marhraoui, Finite volume approximation of degenerate two-phase flow model with unlimited air mobility, Numerical Methods for Partial Differential Equations, vol.3, issue.2, 2011.
DOI : 10.1002/num.21715
URL : https://hal.archives-ouvertes.fr/hal-00606955

J. Carrillo and P. Wittbold, Uniqueness of Renormalized Solutions of Degenerate Elliptic???Parabolic Problems, Journal of Differential Equations, vol.156, issue.1, pp.93-121, 1999.
DOI : 10.1006/jdeq.1998.3597

R. Eymard, M. Ghilani, and N. Marhraoui, Convergence of the water-air flow model to Richards model, Proc. of Finite Volumes for Complex Applications IV, pp.195-203, 2005.

R. Eymard, M. Gutnic, and E. D. Hilhorst, The finite volume method for Richards equation

R. Eymard, M. Henry, and D. Hilhorst, Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero, Discr. Cont. Dynamical Syst. ser. S
URL : https://hal.archives-ouvertes.fr/hal-00424924

N. Igbida, K. Sbihi, and P. Wittbold, Renormalized solution for Stefan type problems: existence and uniqueness, Nonlinear Differential Equations and Applications NoDEA, vol.178, issue.3, pp.69-93, 2010.
DOI : 10.1007/s00030-009-0040-y
URL : https://hal.archives-ouvertes.fr/hal-00475849

G. Gagneux and M. Madaune-tort, Analyse Mathématique de Modèles non linéaires de l'ingénierie pétrolì ere, French) [Mathematical Analysis of Nonlinear models in petroleum ingeneering], Mathématiques & Applications, 1996.

A. Michel, Convergence de schémas volumes finis pour desprobì emes de convection diffusion non linéaires, 2001.

F. Otto, L1-Contraction and Uniqueness for Quasilinear Elliptic???Parabolic Equations, Journal of Differential Equations, vol.131, issue.1, pp.20-38, 1996.
DOI : 10.1006/jdeq.1996.0155
URL : http://doi.org/10.1006/jdeq.1996.0155

A. Plouvier-debaigt, Solutions renormalisées pour deséquationsdeséquations autonomes des milieux poreux. (French) [Renormalized solutions for the autonomous porous-medium equations] Ann, Fac. Sci
DOI : 10.5802/afst.886

A. Plouvier-debaigt, B. Donné, G. Gagneux, and P. Urruty, Solutions renormalis??es pour des mod??les des milieux poreux, French) [Renormalized solutions for some porous media models] C. R. Acad
DOI : 10.1016/S0764-4442(97)88711-3

A. Plouvier-debaigt and G. Gagneux, Unicité de la solution faible d'´ equations des milieux poreux, via un concept de solution renormalisée. (French). [Uniqueness of the weak solution for porous media equations via a renormalized solution notion, C. R. Acad. Sci. Paris Sér. I Math, vol.322, issue.11, pp.1049-1052, 1996.

L. A. Richards, CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS, Physics, vol.1, issue.5, pp.318-333, 1931.
DOI : 10.1063/1.1745010