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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[1] O. B. Bocharov, V. N. Monakhov, “Kraevye zadachi neizotermicheskoi dvukhfaznoi filtratsii v poristykh sredakh”, Dinamika sploshnoi sredy, 86, Novosibirsk, 1988, 47–59

[2] O. B. Bocharov, V. N. Monakhov, “Neizotermicheskaya filtratsiya nesmeshivayuschikhsya zhidkostei s peremennymi ostatochnymi nasyschennostyami”, Dinamika sploshnoi sredy, 88, Novosibirsk, 1988, 3–12 | Zbl

[3] S. N. Antontsev, A. V. Kazhikhov, V. N. Monakhov, Kraevye zadachi mekhaniki neodnorodnykh zhidkostei, Nauka, Novosibirsk, 1983 | MR | Zbl

[4] E. B. Chekalyuk, Termodinamika neftyanogo plasta, Nedra, M., 1965

[5] H. E. Ewing, V. N. Monakhov, “Nonisotermal two-phase filtration in porous media”, Free Boundery Problems in Continuum Mechanics, International Series of Numerical Mathematics, 106, 1992, 121–130 | MR | Zbl

[6] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[7] N. V. Khusnutdinova, O povedenii reshenii kraevykh zadach nestatsionarnoi filtratsii, Avtoreferat dissertatsii kand. fiz.-mat. nauk, Kazan, 1961

[8] A. V. Kazhikhov, “Nekotorye avtomodelnye zadachi nestatsionarnoi filtratsii i ikh chislennoe reshenie”, Dinamika sploshnoi sredy, 3, Novosibirsk, 1969, 33–44

[9] B. V. Boyarskii, “Teoriya obobschennogo analiticheskogo vektora”, Ann. Pol. Math., 16 (1966), 281–320