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TMF, 1975, Volume 24, Number 2, Pages 242–247 (Mi tmf4008)  

This article is cited in 10 scientific papers (total in 10 papers)

Microscopic solutions of the Boltzmann–Enskog equation in kinetic theory for elastic balls

N. N. Bogolyubov


Abstract: It is shown, that the Bolzman–Enskog equation, that was always considered as the small density approximation, has also the microscopic solutions, corresponding to the exact motion of particles.

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English version:
Theoretical and Mathematical Physics, 1975, 24:2, 804–807

Bibliographic databases:

Received: 22.04.1975

Citation: N. N. Bogolyubov, “Microscopic solutions of the Boltzmann–Enskog equation in kinetic theory for elastic balls”, TMF, 24:2 (1975), 242–247; Theoret. and Math. Phys., 24:2 (1975), 804–807

Citation in format AMSBIB
\Bibitem{Bog75}
\by N.~N.~Bogolyubov
\paper Microscopic solutions of the Boltzmann--Enskog equation in kinetic theory for elastic balls
\jour TMF
\yr 1975
\vol 24
\issue 2
\pages 242--247
\mathnet{http://mi.mathnet.ru/tmf4008}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=468958}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 2
\pages 804--807
\crossref{https://doi.org/10.1007/BF01029065}


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

    This publication is cited in the following articles:
    1. N. G. Inozemtseva, B. I. Sadovnikov, “Boltzmann-Enskog equation and asymptotic behavior of the time autocorrelation functions”, Theoret. and Math. Phys., 31:2 (1977), 448–455  mathnet  crossref  mathscinet
    2. A. N. Gordeyev, “Perturbation method in the theory of kinetic equations”, Theoret. and Math. Phys., 63:1 (1985), 400–412  mathnet  crossref  mathscinet  isi
    3. 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  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. A. V. Bogdanov, Yu. E. Gorbachev, I. D. Kaganovich, “Statistical $T$ matrix in the theory of dense gases and the Enskog approach”, Theoret. and Math. Phys., 87:2 (1991), 503–511  mathnet  crossref  mathscinet  zmath  isi
    5. N. N. Bogolyubov (Jr.), D. P. Sankovich, “N. N. Bogolyubov and statistical mechanics”, Russian Math. Surveys, 49:5 (1994), 19–49  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. V. V. Kozlov, “The generalized Vlasov kinetic equation”, Russian Math. Surveys, 63:4 (2008), 691–726  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. A. G. Zagorodnii, “Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy and the kinetic theory of dusty plasmas”, Theoret. and Math. Phys., 160:2 (2009), 1101–1112  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. A. S. Trushechkin, “O strogom opredelenii mikroskopicheskikh reshenii uravneniya Boltsmana–Enskoga”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 270–278  mathnet  crossref
    9. A. S. Trushechkin, “Microscopic solutions of kinetic equations and the irreversibility problem”, Proc. Steklov Inst. Math., 285 (2014), 251–274  mathnet  crossref  crossref  isi  elib  elib
    10. Trushechkin A., “Microscopic and Soliton-Like Solutions of the Boltzmann Enskog and Generalized Enskog Equations For Elastic and Inelastic Hard Spheres”, Kinet. Relat. Mod., 7:4 (2014), 755–778  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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