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.
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     author = {V. I. Skripnik},
     title = {Mean field limit in a~generalized {Gibbs} system and the equivalent nonequilibrium system of interacting {Brownian} particles},
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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/