Abstract
We construct a new class of locally perturbed equilibrium distribution functions for which local (in time) solutions of the BBGKY equations can be extended onto the entire time axis.
Similar content being viewed by others
REFERENCES
D. Y. Petrina V. I. Gerasimenko P. V. Malyshev (1985) Mathematical Foundations of Classical Statistical Mechanics Naukova Dumka Kiev
D. Y. Petrina V. I. Gerasimenko P. V. Malyshev (1989) Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems Gordon and Breach New York
D. Y. Petrina V. I. Gerasimenko P. V. Malyshev (2002) Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems EditionNumber2nd edition Taylor & Francis London
D. Y. Petrina (1979) ArticleTitleMathematical description of the evolution of infinite systems of classical statistical physics. Locally perturbed one-dimensional systems Teor. Mat. Fiz. 38 IssueID2 230–250
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 6, pp. 774–781, June, 2004.
Rights and permissions
About this article
Cite this article
Malyshev, P.V., Malyshev, D.V. On locally perturbed equilibrium distribution functions. Ukr Math J 56, 919–928 (2004). https://doi.org/10.1007/PL00022178
Received:
Issue Date:
DOI: https://doi.org/10.1007/PL00022178