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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Ryabukha, T.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146169
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System / T.V. Ryabukha // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ.

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...