Geodesic
Remark on the propagation-of-molecular-chaos theorem
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 304-308 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A connection is established between hierarchies of equations for which the propagationof-molecular-chaos theorem holds and the hierarchies generated by the Hopf equation for nonlinear systems. In particular, this connection makes it possible to establish the unique solvability of the hierarchy obtained in the mean field limit for the description of an infinite system of particles diffusing in a fluid. 
@article{TMF_1986_67_2_a9,
     author = {I. D. Chueshov},
     title = {Remark on the propagation-of-molecular-chaos theorem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {304--308},
     year = {1986},
     volume = {67},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a9/}
}
TY  - JOUR
AU  - I. D. Chueshov
TI  - Remark on the propagation-of-molecular-chaos theorem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 304
EP  - 308
VL  - 67
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a9/
LA  - ru
ID  - TMF_1986_67_2_a9
ER  - 
%0 Journal Article
%A I. D. Chueshov
%T Remark on the propagation-of-molecular-chaos theorem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 304-308
%V 67
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a9/
%G ru
%F TMF_1986_67_2_a9
I. D. Chueshov. Remark on the propagation-of-molecular-chaos theorem. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 304-308. http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a9/

[1] Petrina D. Ya., Gerasimenko V. I., UMN, 38:5 (1983), 3–58 | MR | Zbl

[2] Vishik M. I., Fursikov A. V., Matematicheskie zadachi statisticheskoi gidromekhaniki, Nauka, M., 1980 | MR

[3] Kats M., Veroyatnost i smezhnye voprosy v fizike, Mir, M., 1965 | Zbl

[4] Braun W., Hepp K., Commun. Math. Phys., 56:2 (1977), 101–113 | DOI | MR | Zbl

[5] Belavkin V. G., Maslov V. P., Tariverdiev S. E., TMF, 49:3 (1981), 298–306 | MR

[6] Gutkin E., Kac M., SIAM J. Appl. Math., 43:4 (1983), 971–980 | DOI | MR | Zbl

[7] Belavkin V. G., “Markovskaya dinamika i kineticheskie uravneniya v algebraicheskoi statisticheskoi mekhanike tozhdestvennykh chastits”, Matematicheskie modeli statisticheskoi fiziki, TGU, Tyumen, 1982, 3–12

[8] Vishik M. I., “Analiticheskie resheniya uravneniya Khopfa, sootvetstvuyuschego kvazilineinym parabolicheskim uravneniyam pri sisteme Nave - Stoksa”, Zadachi mekhaniki i matematicheskoi fiziki, Nauka, M., 1976, 69–97 | MR