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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 1, Pages 100–117 (Mi tmf5015)  
This article is cited in 1 scientific paper (total in 1 paper)

Mean field limit in a generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles

V. I. Skripnik
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Abstract: The mean field limit is found for weak solutions of the Bogolyubov–Strel'tsova diffusion hierarchy that at the initial time are identical to the Gibbs correlation functions. As a result, weak solutions of the nonlinear diffusion equation are found over a finite time interval.
Received: 19.01.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 76, Issue 1, Pages 734–746
DOI: https://doi.org/10.1007/BF01029432
Bibliographic databases:
Language: Russian
Citation: V. I. Skripnik, “Mean field limit in a generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles”, TMF, 76:1 (1988), 100–117; Theoret. and Math. Phys., 76:1 (1988), 734–746
Citation in format AMSBIB
\Bibitem{Skr88}
\by V.~I.~Skripnik
\paper Mean field limit in a~generalized Gibbs system and the equivalent nonequilibrium system of interacting Brownian particles
\jour TMF
\yr 1988
\vol 76
\issue 1
\pages 100--117
\mathnet{http://mi.mathnet.ru/tmf5015}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=961953}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 76
\issue 1
\pages 734--746
\crossref{https://doi.org/10.1007/BF01029432}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U173100009}
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  • https://www.mathnet.ru/eng/tmf5015
  • https://www.mathnet.ru/eng/tmf/v76/i1/p100
    • This publication is cited in the following 1 articles:
    1. V. I. Skripnik, “Evolution operator of the Bogolyubov gradient diffusion hierarchy in the mean field limit”, Theoret. and Math. Phys., 79:1 (1989), 431–436  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:345
    Full-text PDF :77
    References:56
    First page:1
     
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