Existence of a~solution ``in the large'' of equations of the one-dimensional nonisothermal motion of a~two-phase mixture. I.~Formulation of the problem and auxiliary statements
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 116-136.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. A. Papin. Existence of a~solution ``in the large'' of equations of the one-dimensional nonisothermal motion of a~two-phase mixture. I.~Formulation of the problem and auxiliary statements. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 116-136. http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a10/

[1] Rakhmatulin Kh. A., “Osnovy gazodinamiki vzaimopronikayuschikh dvizhenii szhimaemykh sred”, Prikl. matematika i mekhanika, 20:2 (1956), 183–195

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

[3] Faizullaev D. F., Umarov A. I., Shakirov A. A., Gidrodinamika odno- i dvukhfaznykh sred i ee prakticheskoe prilozhenie, FAN, Tashkent, 1980 | MR

[4] Papin A. A., “Razreshimost “v malom” po vremeni uravnenii odnomernogo dvizheniya dvukh vzaimopronikayuschikh vyazkikh neszhimaemykh zhidkostei”, Dinamika sploshnoi sredy, 114, Novosibirsk, 1999, 64–70 | MR | Zbl

[5] Papin A. A., “Razreshimost “v malom” po nachalnym dannym uravnenii odnomernogo dvizheniya dvukh vzaimopronikayuschikh vyazkikh neszhimaemykh zhidkostei”, Dinamika sploshnoi sredy, 116, Novosibirsk, 2000, 73–81 | MR | Zbl

[6] Papin A. A., Anosova I. G., “Globalnaya razreshimost modelnoi zadachi o dvizhenii dvukh vzaimopronikayuschikh zhidkostei. Stabilizatsiya resheniya”, Izv. AltGU. Barnaul, 2002, 40–46, Spets. vypusk | Zbl

[7] Soo S. L., “Development of dynamics of multiphase flows”, Internat. J. Sci. Engrg., 1 (1984), 13–29

[8] Oran E., Boris D. Zh., Chislennoe modelirovanie reagiruyuschikh potokov, Mir, M., 1990 | MR

[9] Rajagopal K. L., Tao L., Mechanics of mixtures, World Sci. Publ., Singapore, 1995 | MR

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

[11] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967