Opuscula Math. 29, no. 2 (2009), 209-216
http://dx.doi.org/10.7494/OpMath.2009.29.2.209

 
Opuscula Mathematica

On the property of the BBGKY hierarchy solution in cumulant representation

Mykhailo O. Stashenko
Halyna M. Hubal

Abstract. We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.

Keywords: BBGKY hierarchy of equations, nonsymmetric system, cumulant (semi-invariant), equilibrium distribution functions.

Mathematics Subject Classification: 35Q72.

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  • Mykhailo O. Stashenko
  • Volyn Institute for Postgraduate Pedagogical Education, 31 Vynnychenka str., Lutsk 43000, Ukraine
  • Halyna M. Hubal
  • Lutsk National Technical University, Computer Science and Information Technologies Faculty, 75 Lvivs'ka str., Lutsk 43018, Ukraine
  • Received: 2008-05-20.
  • Revised: 2008-10-09.
  • Accepted: 2008-11-10.
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Cite this article as:
Mykhailo O. Stashenko, Halyna M. Hubal, On the property of the BBGKY hierarchy solution in cumulant representation, Opuscula Math. 29, no. 2 (2009), 209-216, http://dx.doi.org/10.7494/OpMath.2009.29.2.209

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