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@article{MM_2011_23_1_a5, author = {A. V. Koldoba and E. V. Koldoba}, title = {The hyperbolisity of equations of isotermal multiphase compositional filtration}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {65--80}, publisher = {mathdoc}, volume = {23}, number = {1}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2011_23_1_a5/} }
TY - JOUR AU - A. V. Koldoba AU - E. V. Koldoba TI - The hyperbolisity of equations of isotermal multiphase compositional filtration JO - Matematičeskoe modelirovanie PY - 2011 SP - 65 EP - 80 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2011_23_1_a5/ LA - ru ID - MM_2011_23_1_a5 ER -
A. V. Koldoba; E. V. Koldoba. The hyperbolisity of equations of isotermal multiphase compositional filtration. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 65-80. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a5/
[1] Aziz Kh., Settari E., Matematicheskoe modelirovanie plastovykh sistem, Nedra, M., 1982, 408 pp.
[2] Nikolaevskii V. N., Bondarev E. A., Mirkin M. I., Stepanova G. S., Terzi V. P., Dvizhenie uglevodorodnykh smesei v poristoi srede, Nedra, M., 1968
[3] Rozenberg M. D., Kundin S. A., Mnogofaznaya mnogokomponentnaya filtratsiya pri dobyche nefti i gaza, Nedra, M., 1978
[4] Bedrikovetsky P. G., Mathematical Theory of Oil and Gas Recovery (with applications to ex-USSR oil and gas condensate fields), Kluwer Academic Publishers, London–Boston–Dordrecht, 1993
[5] Harten A., “On the symmetric form of Systems of Concervation Laws with Entropy”, J. Comp. Phys., 49 (1983), 151–164 | DOI | MR | Zbl
[6] Koldoba A. V., Koldoba E. V., Razryvnye resheniya mnogokomponentnoi filtratsii, preprint No 85, IPM RAN, M., 1999, 20 pp.
[7] Koldoba A. V., Koldoba E. V., “The Discontinuous Solutions of the Transport Equations for Compositional Flow in Porous Media”, Transport in Porous Media, 52:2, August (2003), 267–277 | DOI | MR
[8] Barenblatt G. I., Entov V. M., Ryzhik V. M., Dvizhenie zhidkostei i gazov v prirodnykh plastakh, Nedra, M., 1984
[9] Entov V. M., Zazovskii A. F., Gidrodinamika protsessov povysheniya nefteotdachi, Nedra, M., 1988, 231 pp.
[10] Radvogin Yu. B., Kharakteristicheskie svoistva uravnenii dvukhkomponentnoi filtratsii, preprint No 37, IPM RAN, M., 2001
[11] Prigozhin I., Defei R., Khimicheskaya termodinamika, Nauka, Novosibirsk, 1966, 509 pp.
[12] Schaefer D. G., Shearer M., “The classification of $2\times 2$ system of non-strictly hyperbolic conservation laws with application to oil recovery”, Communications on Pure and Applied Mathimatics, 40 (1987), 141–178 | DOI | MR
[13] Orr F. M. (jr.), Theory of Gas Injection Processes, Stanford University, California, 2005, 283 pp.
[14] Bedrikovetskii P. G., Chumak M. L., “Tochnye resheniya zadach dvukhfaznoi mnogokomponentnoi filtratsii”, DAN SSSR, 322:4 (1992), 668–673 | MR
[15] Voskov D. V., Entov V. M., “K zadache o vytesnenii nefti smesyami gazov”, Izv. RAN. Ser. MZhG, 2001, no. 2, 112–121 | Zbl
[16] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozhenie k gazovoi dinamike, Nauka, M., 1978 | MR
[17] Koldoba A. V., Koldoba E. V., Giperbolichnost uravnenii izotermicheskoi mnogokomponentnoi filtratsii, preprint No 77, IPM RAN, M., 2008, 28 pp.