Asymptotic expansion of the solution to the problem of vibrational convection
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 9, pp. 1416-1424
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V. B. Levenshtam. Asymptotic expansion of the solution to the problem of vibrational convection. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 9, pp. 1416-1424. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_9_a11/

[1] Levenshtam V. B., “Starshie priblizheniya metoda usredneniya dlya zadachi o vibratsionnoi konvektsii”, Differents. ur-niya, 31:5 (1995), 814–822 | MR | Zbl

[2] Levenshtam V. B., “Asimptoticheskoe integrirovanie zadachi o vibratsionnoi konvektsii”, Differents. ur-niya, 34:4 (1997), 523–532 | MR

[3] Bogolyubov N. N., Mitropol'skii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR

[4] Simonenko I. B., “Starshie priblizheniya metoda osredneniya dlya abstraktnykh parabolicheskikh uravnenii”, Matem. sb., 92(134):4 (1973), 541–549 | MR | Zbl

[5] Vishik M. M., Lyusternik L. A., “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, UMN, 12:5(77) (1957), 3–122 | MR | Zbl

[6] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

[7] Levenshtam V. B., “Obosnovanie metoda usredneniya dlya zadachi o teplovoi vibratsionnoi konvektsii”, Dokl. RAN, 349:5 (1996), 621–623 | Zbl

[8] Solonnikov V. A., “O differentsialnykh svoistvakh resheniya pervoi kraevoi zadachi dlya nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Tr. MIAN SSSR, 73, 1964, 221–291 | MR | Zbl

[9] Kochin N. N., Kibel I. A., Roze N. V., Teoreticheskaya gidromekhanika, Ch. II, Fizmatgiz, M., 1963 | Zbl

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

[11] Yudovich V. I., Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti, Izd-vo RGU, Rostov n/D, 1984 | Zbl

[12] Levenshtam V. B., “Metod usredneniya v zadache konvektsii pri vysokochastotnykh vibratsiyakh”, Sibirskii matem. zh., 34:2 (1993), 92–109 | MR | Zbl