Citation:
D. Ya. Petrina, V. I. Gerasimenko, “A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics”, Russian Math. Surveys, 38:5 (1983), 1–61
\Bibitem{PetGer83}
\by D.~Ya.~Petrina, V.~I.~Gerasimenko
\paper A~mathematical description of the evolution of the state of infinite systems of classical statistical mechanics
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 5
\pages 1--61
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\crossref{https://doi.org/10.1070/RM1983v038n05ABEH003499}
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https://doi.org/10.1070/RM1983v038n05ABEH003499
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This publication is cited in the following 10 articles:
V. Gerasimenko, I. Gapyak, “Non-perturbative solutions of hierarchies of evolution equations for colliding particles”, AIP Advances, 14:12 (2024)
V. I. Gerasimenko, I. V. Gapyak, “Boltzmann–Grad asymptotic behavior of collisional dynamics”, Rev. Math. Phys., 33:02 (2021), 2130001
G. N. Gubal', “On the existence of weak local in time solutions in the form of a cumulant expansion for a chain of Bogolyubov's equations of a one-dimensional symmetric particle system”, Journal of Mathematical Sciences, 199:6 (2014), 654–666
T. V. Ryabukha, “Functionals for the means of observables for one-dimensional infinite-particle systems”, Theoret. and Math. Phys., 162:3 (2010), 352–365
Tatiana V. Ryabukha, “On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System”, SIGMA, 2 (2006), 053, 8 pp.
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
A. E. Hurd, “Global existence and validity for the BBGKY hierarchy”, Arch. Rational Mech. Anal., 98:3 (1987), 191
I. D. Chueshov, “Remark on the propagation-of-molecular-chaos theorem”, Theoret. and Math. Phys., 67:2 (1986), 517–521
V. I. Skripnik, “Smoluchowski diffusion in an infinite system at low density: Local time evolution”, Theoret. and Math. Phys., 69:1 (1986), 1047–1056
V. I. Gerasimenko, D. Ya. Petrina, “Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres”, Theoret. and Math. Phys., 64:1 (1985), 734–747
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