Geodesic
Justification of the method of averaging for the system of equations with the Navier--Stokes operator in the principal part
Algebra i analiz, Tome 26 (2014) no. 1, pp. 94-127.

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V. B. Levenshtam. Justification of the method of averaging for the system of equations with the Navier--Stokes operator in the principal part. Algebra i analiz, Tome 26 (2014) no. 1, pp. 94-127. http://geodesic.mathdoc.fr/item/AA_2014_26_1_a3/

[1] Bogolyubov N. N., O nekotorykh statisticheskikh metodakh v matematicheskoi fizike, Izd. AN USSR, Kiev, 1945

[2] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR

[3] Volosov V. M., Morgunov B. I., Metod osredneniya v teorii nelineinykh kolebatelnykh sistem, Izd-vo MGU, M., 1971

[4] Levitan B. M., Zhikov V. V., Pochti-periodicheskie funktsii i differentsialnye uravneniya, Izd-vo MGU, M., 1978 | MR | Zbl

[5] Simonenko I. B., Metod usredneniya v teorii nelineinykh uravnenii parabolicheskogo tipa s prilozheniem k zadacham gidrodinamicheskoi ustoichivosti, Izd-vo Rost. GU, Rostov-na-Donu, 1989 | Zbl

[6] 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

[7] Levenshtam V. B., “Metod usredneniya v zadache konvektsii pri vysokochastotnykh naklonnykh vibratsiyakh”, Sib. mat. zh., 37:5 (1996), 1103–1116 | MR | Zbl

[8] Levenshtam V. B., “Asimptoticheskoe integrirovanie sistem Nave–Stoksa s bystro ostsilliruyuschei massovoi siloi”, Differents. uravneniya, 37:5 (2001), 696–705 | MR | Zbl

[9] Levenshtam V. B., “Asimptoticheskoe integrirovanie parabolicheskikh zadach s bolshimi vysokochastotnymi slagaemymi”, Sib. mat. zh., 46:4 (2005), 805–821 | MR | Zbl

[10] Levenshtam V. B., “Obosnovanie metoda usredneniya dlya differentsialnykh uravnenii, soderzhaschikh bystro ostsilliruyuschie slagaemye s bolshimi amplitudami”, Izv. RAN. Ser. mat., 70:2 (2006), 25–56 | DOI | MR | Zbl

[11] Yudovich V. I., Metod linearizatsii v gidrodinamicheskoi ustoichivosti, Izd-vo Rost. GU, Rostov-na-Donu, 1984 | Zbl

[12] Simonenko I. B., “Obosnovanie metoda usredneniya dlya abstraktnykh parabolicheskikh uravnenii”, Mat. sb., 81(123):1 (1970), 53–61 | MR | Zbl

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

[14] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966 | MR

[15] Levenshtam V. B., “O vzaimosvyazi dvukh klassov reshenii uravnenii Nave–Stoksa”, Vladikavkaz. mat. zh., 12:3 (2010), 56–66 | MR | Zbl