Geodesic
Solutions of the BBGKY hierarchy. Classical statistics
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 48-56 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The Bogoliubov hierarchy of classical kinetic equations is treated as a single abstract evolution-type equation in the space of sequences of functions which are integrable over the momentum space and translationally invariant in the coordinatespace. A formula expressing the solution of the equations as a series of nonlinear operators which act on the initial data is obtained. 
@article{TMF_1977_30_1_a6,
     author = {A. K. Vidybida},
     title = {Solutions {of~the~BBGKY} hierarchy. {Classical} statistics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {48--56},
     year = {1977},
     volume = {30},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a6/}
}
TY  - JOUR
AU  - A. K. Vidybida
TI  - Solutions of the BBGKY hierarchy. Classical statistics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 48
EP  - 56
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a6/
LA  - ru
ID  - TMF_1977_30_1_a6
ER  - 
%0 Journal Article
%A A. K. Vidybida
%T Solutions of the BBGKY hierarchy. Classical statistics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 48-56
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a6/
%G ru
%F TMF_1977_30_1_a6
A. K. Vidybida. Solutions of the BBGKY hierarchy. Classical statistics. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 1, pp. 48-56. http://geodesic.mathdoc.fr/item/TMF_1977_30_1_a6/

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 ; М. М. Боголюбов, Лекцiïз квантовоïстатистики, «Радянська школа», 1949 | MR

[2] D. Ya. Petrina, A. K. Vidybida, Tr. MIAN SSSR, 136, 1975, 370–378 ; А. К. Видыбида, Д. Я. Петрина, ДАН СССР, 228:3 (1976) | MR | MR | Zbl

[3] A. K. Vidybida, Preprint ITP-75-117E, Kiev, 1975 | Zbl

[4] D. Ya. Petrina, TMF, 4 (1970), 394 | MR | Zbl

[5] A. K. Vidybida, TMF, 25 (1975), 1 | MR

[6] D. Ya. Petrina, TMF, 13 (1972), 391 | MR

[7] Ya. G. Sinai, Yu. M. Sukhov, TMF, 19 (1974), 344 | MR | Zbl

[8] Ya. G. Sinai, Vestn. MGU, 1 (1974), 152 | MR

[9] G. Gallavotti, O. E. Lanford, J. L. Lebowitz, J. Math. Phys., 11 (1970), 9 | DOI | MR

[10] D. Ryuel, Statisticheskaya mekhanika, «Mir», 1971

[11] E. G. Cohen, Physica, 28 (1962), 1025 | DOI | MR | Zbl

[12] A. K. Vidybida, M. Yu. Rasulova, Preprint ITF-76-27R, Kiev, 1976

[13] J. Ginibre, J. Math. Phys., 6 (1963), 252 | DOI | MR