@article{VMJ_2012_14_4_a7,
author = {V. B. Levenshtam},
title = {On correlation of two solution classes for {Navier{\textendash}Stokes} {equations.~II}},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {52--62},
year = {2012},
volume = {14},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a7/}
}
V. B. Levenshtam. On correlation of two solution classes for Navier–Stokes equations. II. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 52-62. http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a7/
[1] Levenshtam V. B., “O vzaimosvyazi dvukh klassov reshenii uravnenii Nave–Stoksa”, Vladikavk. mat. zhurn., 12:3 (2010), 56–66 | MR | Zbl
[2] Simonenko I. B., “Obosnovanie metoda usredneniya dlya zadachi konvektsii v pole bystro ostsilliruyuschikh sil i dlya drugikh parabolicheskikh uravnenii”, Mat. sb., 87(129):2 (1972), 236–253 | MR | Zbl
[3] Simonenko I. B., Metod usredneniya v teorii nelineinykh uravnenii parabolicheskogo tipa s prilozheniem k zadacham gidrodinamicheskoi ustoichivosti, Izd-vo RGU, Rostov n/D., 1989, 112 pp. | Zbl
[4] Levenshtam V. B., “Odno svoistvo proektora $\Pi$ gidrodinamiki”, Kompleksnyi analiz, differentsialnye i integralnye uravneniya, Ellista, 1990, 89–96
[5] Levenshtam V. B., “Obosnovanie metoda usredneniya dlya zadachi konvektsii pri vysokochastotnykh vibratsiyakh”, Sib. mat. zhurn., 34:2 (1993), 92–109 | MR | Zbl
[6] Levenshtam V. B., “Asimptoticheskoe razlozhenie resheniya zadachi o vibratsionnoi konvektsii”, Zhurn. vychislitelnoi matematiki i mat. fiziki, 40:9 (2000), 1416–1424 | MR | Zbl
[7] Levenshtam V. B., “Asymptotic integration on initial boundary problem for Navier–Stokes system with a rapidly oscillating mass force”, Russian J. of Math. Physics, 12:1 (2005), 40–48 | MR | Zbl
[8] Levenshtam V. B., “Asimptoticheskoe integrirovanie parabolicheskikh zadach s bolshimi vysokochastotnymi slagaemymi”, Sib. mat. zhurn., 46:4 (2005), 805–821 | MR | Zbl
[9] Levenshtam V. B., “Obosnovanie metoda usredneniya dlya differentsialnykh uravnenii, soderzhaschikh bystroostsiliruyuschie slagaemye s bolshimi amplitudami”, Izv. RAN. Ser. mat., 70:2 (2006), 25–56 | DOI | MR | Zbl
[10] Levenshtam V. B., “Nekotorye voprosy teorii usredneniya parabolicheskikh uravnenii s bolshimi vysokochastotnymi slagaemymi”, Dokl. AN, 411:3 (2006), 302–305 | MR | Zbl
[11] Yudovich V. I., Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti, Izd-vo RGU, Rostov n/D., 1984, 192 pp. | Zbl
[12] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970, 288 pp. | MR
[13] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966, 500 pp. | MR | Zbl
[14] Bykhovskii E. B.,Smirnov N. V., “Ob ortogonalnykh razlozheniyakh prostranstva vektor-funktsii, kvadratichno summiruemykh po dannoi oblasti”, Tr. MIAN SSSR, 59, 1960, 5–36 | MR | Zbl