Abstract:
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.
Citation:
I. D. Chueshov, “Remark on the propagation-of-molecular-chaos theorem”, TMF, 67:2 (1986), 304–308; Theoret. and Math. Phys., 67:2 (1986), 517–521
This publication is cited in the following 2 articles:
V. I. Skripnik, “Evolution operator of the Bogolyubov gradient diffusion hierarchy in the mean field limit”, Theoret. and Math. Phys., 79:1 (1989), 431–436
V. I. Skripnik, “Mean field limit in a generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles”, Theoret. and Math. Phys., 76:1 (1988), 734–746