Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations

Authors

  • V. I. Gerasimenko
  • T. V. Ryabukha

Abstract

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 corresponding functional spaces.

Published

25.10.2002

Issue

Section

Research articles

How to Cite

Gerasimenko, V. I., and T. V. Ryabukha. “Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 10, Oct. 2002, pp. 1313-28, https://umj.imath.kiev.ua/index.php/umj/article/view/4170.