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.
- 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.
