Opuscula Mathematica
Opuscula Math. 29, no. 2 (2009), 209-216

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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About the authors ▼
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
About the article ▼
Received: 2008-05-20.
Revised: 2008-10-09.
Accepted: 2008-11-10.
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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