Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations

• Date: 2002
• Main Authors: Gerasimenko, V. I., Ryabukha, T. V., Герасименко, В. І., Рябуха, Т. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4170
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We construct a cumulant representation of solutions of the Cauchy problem for the BBGKY hierarchy of equations and for the dual hierarchy of equations. We define the notion of dual nonequilibrium cluster expansion. We investigate the convergence of the constructed cluster expansions in the correspon...