A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space Eξ

• Autorzy: Stashenko M.O. , Hubal H.M.
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

non-symmetrical particle systems; space of sequences of continuous bounded functions; BBGKY chain of equations; cumulant

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2004
• Tom: Vol. 24, no. 1
• Strony: 161--168
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Stashenko M.O.

• Volyn State University named after Lesya Ukrainka, Department of Mathematics, 13 Voli av., Lutsk 43025, Ukraine

autor

Hubal H.M.

• 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.