English

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

Statistical Mechanics 2008-04-24 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.cond-mat/0605364,
  title  = {On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System},
  author = {Tatiana V. Ryabukha},
  journal= {arXiv preprint arXiv:cond-mat/0605364},
  year   = {2008}
}

Comments

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

R2 v1 2026-07-22T11:32:17.937Z