Geodesic
Stationary problems for two-phase nonisothermal flows in porous media
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 57-66

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In this paper we prove the existence theorems for stationary boundary-value problems of thermal two-phase filtration in the classes of generalized and classic solutions (the Masket–Lerevett model). Solutions are constructed by an iteration method. It is proved that the approximate solutions converge and an estimation of the convergence rate is performed. 
@article{VNGU_2006_6_2_a3,
     author = {V. N. Monakhov},
     title = {Stationary problems for two-phase nonisothermal flows in porous media},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {57--66},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a3/}
}
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V. N. Monakhov. Stationary problems for two-phase nonisothermal flows in porous media. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 57-66. http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a3/