Geodesic
Two-dimensional nonlocal hydrodynamics with allowance for fluctuations
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 94-108 Cet article a éte moissonné depuis la source Math-Net.Ru

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Time asymptotics of correlation functions of two and three quasilocal operators due to the fluctuations of hydrodynamical parameters is found in the method of varying the external field. The modified divergence-free perturbation theory for the evolution matrix of two-dimensional hydrodynamics is formulated. Equations of two-dimensional hydrodynamics with fluctuations are obtained which are nonlocal in spatial gradients. 
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A. A. Isaev; S. V. Peletminskii; V. I. Prikhod'ko. Two-dimensional nonlocal hydrodynamics with allowance for fluctuations. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 94-108. http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a8/

[1] Ernst M. H., Dorfman I. R., J. Stat. Phys., 12:4 (1975), 311–359 | DOI | MR | Zbl

[2] Machta J. Z., Oppenheim I., Physica, 112A:3 (1982), 361–392 | DOI | MR

[3] Machta J. Z., Thesis, MIT, 1980

[4] Oppenheim I., Sokolovsky A. I., Tseitlin M. Yu., Physica, A136:1 (1986), 1–20 | DOI | MR | Zbl

[5] Adzhemyan L. Ts., Grinin A. N., Kuni F. M., TMF, 24:2 (1975), 255–264 | MR | Zbl

[6] Zubarev D. N., Khazanov L. M., TMF, 34:1 (1978), 69–80 | MR

[7] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M.–L., 1946 | MR

[8] Akhiezer A. I., Peletminskii S. V., Metody statisticheskoi fiziki, Nauka, M., 1977 | MR

[9] Peletminskii S. V., Plokhov S. S., Prikhodko V. I., DAN SSSR, 252:6 (1980), 1365–1368 | MR

[10] Peletminskii S. V., Plokhov S. S., Prikhodko V. I., TMF, 46:2 (1981), 263–278 | MR

[11] Peletminskii S. V., Plokhov S. S., Prikhodko V. I., Statisticheskaya mekhanika prostranstvenno-neodnorodnykh fluktuatsii i dvumernaya gidrodinamika, Preprint 81-79 R, ITF, Kiev, 1981

[12] Bogolyubov N. N., Bogolyubov N. N. (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, Nauka, M., 1984 | MR

[13] Resibois P., Zeener M., Classical Kinetic Theory of Fluids, Wiley, New York, 1977

[14] Andreev A. F., ZhETF, 78:5 (1980), 2064–2073