Geodesic
Evolution operator of the Bogolyubov gradient diffusion hierarchy in the mean field limit
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 127-134 
V. I. Skripnik. Evolution operator of the Bogolyubov gradient diffusion hierarchy in the mean field limit. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 127-134. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a11/
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     title = {Evolution operator of~the {Bogolyubov} gradient diffusion hierarchy in~the mean field limit},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Evolution operator and weak solutions on a finite time interval in the space of sequences of measurable bounded functions of the Bogoliubov gradient diffusion hierarchy are constructed in the mean field limit.

[1] Chandrasekar S., Stokhasticheskie problemy v fizike i astronomii, IL, M., 1949

[2] Streltsova E. A., UMZh, 11:1 (1959), 83–92 | MR

[3] Gurevich B. M., Oseledets V. I., Itogi nauki i tekhniki. VINITI. Teoriya veroyatnostei, 14, VINITI, M., 1977, 5–39

[4] Spohn H., Rev. Mod. Phys., 52:3 (1980), 569–616 | DOI | MR

[5] Dobrushin R. L., Sinai Ya. G., Sukhov Yu. M., Itogi nauki i tekhniki. VINITI. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 2, VINITI, M., 1985, 235–284 | MR

[6] Petrina D. Ya., Gerasimenko V. I., Malyshev P. V., Matematicheskie osnovy klassicheskoi statisticheskoi mekhaniki, Naukova dumka, Kiev, 1985 | MR | Zbl

[7] Pastur L. A., TMF, 18:2 (1974), 233–242 | MR

[8] Zagrebnov V. A., Korrelyatsionnye uravneniya dlya klassicheskikh nepreryvnykh sistem: resheniya v konechnom ob'eme pri nepustykh granichnykh usloviyakh, Preprint R5-80-458, OIYaI, Dubna, 1980

[9] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971

[10] Ginibre J., J. Math. Phys., 6:2 (1965), 238–251 | DOI | MR | Zbl

[11] Skripnik V. I., TMF, 69:1 (1986), 128–141 | MR

[12] Skrypnik W. I., J. Stat. Phys., 35:5/6 (1984), 587–612 | DOI | MR

[13] Skripnik V. I., TMF, 58:3 (1984), 398–420 | MR

[14] Skripnik V. I., TMF, 76:1 (1988), 100–117 | MR

[15] Skrypnik W. I., Integrable solutions of the hierarchy of the BBGKY type for Brownian particles in the mean-field limit, Preprint DIAS STP-87-56, Inst. Adv. Stud., Dublin, 1987 | MR

[16] Skorokhod A. V., Stokhasticheskie uravneniya dlya slozhnykh sistem, Nauka, M., 1983 | MR

[17] Lang R., Z. Wahr. v. Geb., 39 (1977), 277–299 | DOI | MR | Zbl

[18] Fritz J., Commun. Math. Phys., 86 (1982), 363–373 | DOI | MR | Zbl

[19] Rost H., Hydrodynamik gekoppelter diffusionen. Fluctuationen im Gleichgewicht, Heidelberg preprint, 1982 | MR

[20] Chueshov I. D., TMF, 67:2 (1986), 304–308 | MR