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

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

2006-05-14

arxiv.org/abs/cond-mat/0605364v1

SIGMA 2 (2006), 053, 8 pages

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.3842/SIGMA.2006.053

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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