Mean field limit in a~generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 100-117
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The mean field limit is found for weak solutions of the Bogolyubov–Strel'tsova diffusion hierarchy that at the initial time are identical
to the Gibbs correlation functions. As a result, weak solutions of
the nonlinear diffusion equation are found over a finite time interval.
@article{TMF_1988_76_1_a8,
author = {V. I. Skripnik},
title = {Mean field limit in a~generalized {Gibbs} system and the equivalent nonequilibrium system of interacting {Brownian} particles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {100--117},
publisher = {mathdoc},
volume = {76},
number = {1},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a8/}
}
TY - JOUR AU - V. I. Skripnik TI - Mean field limit in a~generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 100 EP - 117 VL - 76 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a8/ LA - ru ID - TMF_1988_76_1_a8 ER -
%0 Journal Article %A V. I. Skripnik %T Mean field limit in a~generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 100-117 %V 76 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a8/ %G ru %F TMF_1988_76_1_a8
V. I. Skripnik. Mean field limit in a~generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 100-117. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a8/