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Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Herasymenko

  2. Shevchenko Kiev University, Kiev

    T. V. Ryabukha

Authors
  1. V. I. Herasymenko
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  2. T. V. Ryabukha
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Herasymenko, V.I., Ryabukha, T.V. Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations. Ukrainian Mathematical Journal 54, 1583–1601 (2002). https://doi.org/10.1023/A:1023771917748

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