V. I. Gerasimenko, D. Ya. Petrina, “Existence of the Boltzmann–Grad limit for an infinite system of hard spheres”, TMF, 83:1 (1990), 92–114; Theoret. and Math. Phys., 83:1 (1990), 402

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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 1, Pages 92–114 (Mi tmf5754)

This article is cited in 6 scientific papers (total in 6 papers)

Existence of the Boltzmann–Grad limit for an infinite system of hard spheres

V. I. Gerasimenko, D. Ya. Petrina

Full-text PDF (2458 kB) Citations (6)

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Abstract: The existence of the Boltzmann–Grad limit is proved for the solutions of the Bogolyubov equations for a system of an infinite number of particles that interact as hard spheres.

Received: 06.04.1989

English version:
Theoretical and Mathematical Physics, 1990, Volume 83, Issue 1, Pages 402–418
DOI: https://doi.org/10.1007/BF01019139

Bibliographic databases:

Language: Russian

Citation: V. I. Gerasimenko, D. Ya. Petrina, “Existence of the Boltzmann–Grad limit for an infinite system of hard spheres”, TMF, 83:1 (1990), 92–114; Theoret. and Math. Phys., 83:1 (1990), 402–418

Citation in format AMSBIB

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\paper Existence of~the Boltzmann--Grad limit for an~infinite system of~hard spheres

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\issue 1

\pages 92--114

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1063690}

\transl

\jour Theoret. and Math. Phys.

\yr 1990

\vol 83

\issue 1

\pages 402--418

\crossref{https://doi.org/10.1007/BF01019139}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EF63600011}

Linking options:

https://www.mathnet.ru/eng/tmf5754

https://www.mathnet.ru/eng/tmf/v83/i1/p92

This publication is cited in the following 6 articles:

V. Gerasimenko, I. Gapyak, “Non-perturbative solutions of hierarchies of evolution equations for colliding particles”, AIP Advances, 14:12 (2024)
D. Ya. Petrina, K. D. Petrina, “Stochastic dynamics and Boltzmann hierarchy. II”, Ukr Math J, 50:3 (1998), 425
D. Ya. Petrina, K. D. Petrina, “Stochastic dynamics and Boltzmann hierarchy. I”, Ukr Math J, 50:2 (1998), 224
D. Ya Petrina, K. D. Petrina, “Stochastic dynamics and Boltzmann hierarchy. III”, Ukr Math J, 50:4 (1998), 626
D. Ya. Petrina, E. D. Petrina, “Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble”, Ukr Math J, 49:1 (1997), 124
V. I. Gerasimenko, “Solutions of Bogolyubov equations for one-dimensional system of hard spheres”, Theoret. and Math. Phys., 91:1 (1992), 410–417

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	146
References:	51
First page:	1

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