Abstract:
By the procedure of the thermodynamic limit solutions are constructed to the Cauchy
problem for the Bogolyubov equations of a system of infinitely many particles interacting
as absolutely elastic spheres.
Citation:
V. I. Gerasimenko, D. Ya. Petrina, “Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres”, TMF, 64:1 (1985), 130–149; Theoret. and Math. Phys., 64:1 (1985), 734–747
\Bibitem{GerPet85}
\by V.~I.~Gerasimenko, D.~Ya.~Petrina
\paper Thermodynamic limit of nonequilibrium states of a~three-dimensional system of elastic spheres
\jour TMF
\yr 1985
\vol 64
\issue 1
\pages 130--149
\mathnet{http://mi.mathnet.ru/tmf4907}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815102}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 64
\issue 1
\pages 734--747
\crossref{https://doi.org/10.1007/BF01017041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985AYT5900012}
Linking options:
https://www.mathnet.ru/eng/tmf4907
https://www.mathnet.ru/eng/tmf/v64/i1/p130
This publication is cited in the following 8 articles:
V. Gerasimenko, I. Gapyak, “Non-perturbative solutions of hierarchies of evolution equations for colliding particles”, AIP Advances, 14:12 (2024)
Gerasimenko I V. Gapyak V I., “Boltzmann-Grad Asymptotic Behavior of Collisional Dynamics”, Rev. Math. Phys., 33:2 (2021), 2130001
Gerasimenko V. Gapyak I., “Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids”, Adv. Math. Phys., 2018, 6252919
Sergio Simonella, “Evolution of Correlation Functions in the Hard Sphere Dynamics”, J Stat Phys, 155:6 (2014), 1191
Viktor I. Gerasimenko, Igor V. Gapyak, “Hard sphere dynamics and the Enskog equation”, Kinetic & Related Models, 5:3 (2012), 459
T. V. Ryabukha, “Functionals for the means of observables for one-dimensional infinite-particle systems”, Theoret. and Math. Phys., 162:3 (2010), 352–365
D. Ya. Petrina, V. I. Gerasimenko, “Mathematical problems of statistical mechanics of a system of elastic balls”, Russian Math. Surveys, 45:3 (1990), 153–211
V. I. Gerasimenko, D. Ya. Petrina, “Existence of the Boltzmann–Grad limit for an infinite system of hard spheres”, Theoret. and Math. Phys., 83:1 (1990), 402–418
Citation in format AMSBIB
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