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Content available On the property of the BBGKY hierarchy solution in a cumulant representation
Stashenko M. O., Hubal H. M.
Opuscula Mathematica
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2009
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Vol. 29, no. 2
209-216
EN
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.
2
Content available remote A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space Eξ
Stashenko M.O., Hubal H.M.
Opuscula Mathematica
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2004
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Vol. 24, no. 1
161-168
EN
It is proved convergence of solution in cumulant expansions of the initial value problem for BBGKY chain of equations of non-symmetrical one-dimensional system of particles which interact via a short-range potential in the space Eξ of the sequences of continuous bounded functions.
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