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On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System

Tatiana V. Ryabukha

cond-mat.stat-mecharXiv:cond-mat/0605364

Abstract

We construct a regularized cumulant (semi-invariant) representation of a solution of the initial value problem for the BBGKY hierarchy for a one-dimensional infinite system of hard spheres interacting via a short-range potential. An existence theorem is proved for the initial data from the space of sequences of bounded functions.

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