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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
161--168
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- Volyn State University named after Lesya Ukrainka, Department of Mathematics, 13 Voli av., Lutsk 43025, Ukraine
autor
- Volyn State University named after Lesya Ukrainka, Department of Mathematics, 13 Voli av., Lutsk 43025, Ukraine
Bibliografia
- [1] Gerasimenko V. I., Stashenko M.O.: Non-equilibrium cluster expansions of non-symmetrical particle systems. Sci. Bulletin of the Volyn State Univ. 4 (2002), 5-13 (Ukrainian).
- [2] Petrina D.Ya.: Mathematical description of the evolution of infinite systems of classical statistical physics: locally perturbed one-dimensional systems. Theor. Math. Fiz. 38 (1979), 230-250.
- [3] Petrina D.Ya., Gerasimenko V. I., Malyshev P. V.: Thermodynamic limit for solutions of Bogolubov's equations. Sov. Sci. Rev., Ser. C, Math. Phys. 7 (1988), 280-335.
- [4] Petrina D.Ya., Gerasimenko V. I., Malyshev P. V.: Mathematical foundations of classical Statistical Mechanics. Continuous systems. New York, Gordon and Breach 1989.
- [5] Gerasimenko V. I.: Evolution of the infinite particle system with nearest-neighbors interaction. Doki. Akad. Nauk USSR, Ser. A 5 (1982), 10-13.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-AGH4-0005-0073