Geodesic
Solvability of boundary problem for filtration of two interpenetrated viscous incompressible fluids in porous medium
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 80-87 
A. A. Papin. Solvability of boundary problem for filtration of two interpenetrated viscous incompressible fluids in porous medium. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 80-87. http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Solvability “in small” by initial data for homogeneous boundary-value problem for one-dimensional filtration equations of two viscous incompressible fluids is proved.

[1] Ber Ya., Zaslavski D., Irmei S., Fiziko-matematicheskie osnovy filtratsii vody, Mir, M., 1971 | Zbl

[2] Nigmatulin R. I., Dinamika mnogofaznykh sred, v. 1, Nauka, M., 1987

[3] Vedernikov V. V., Nikolaevskii V. N., “Uravneniya mekhaniki poristykh sred, nasyschennykh dvukhfaznoi zhidkostyu”, Izv. AN SSSR. Mekhanika zhidkosti i gaza, 1978, no. 5, 165–169

[4] Dorovskii V. N., Filtratsiya v treschinovato-poristykh sredakh, Prepr. No 15, In-t geol. i geofiz. SO AN SSSR, Novosibirsk, 1990, 8 pp.

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

[6] Papin A. A., “Razreshimost «v malom» po vremeni sistemy uravnenii odnomernogo dvizheniya dvukh vzaimopronikayuschikh vyazkikh neszhimaemykh zhidkostei”, Sb. nauch. tr., Dinamika sploshnoi sredy, 114, RAN. Sib. otd-nie. In-t gidrodinamiki, 1999, 71–83

[7] Papin A. A., “Suschestvovanie resheniya v «tselom» uravnenii odnomernogo neizotermicheskogo dvizheniya dvukhfaznoi smesi. 1: Postanovka zadachi i vspomogatelnye utverzhdeniya”, Sib. zhurn. industr. mat., 9:2 (26) (2006), 116–136 | Zbl