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Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 19, Number 1, Pages 125–136 (Mi tmf3571)  
This article is cited in 2 scientific papers (total in 2 papers)

Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics

L. Ts. Adzhemyan, F. M. Kuni, T. Yu. Novozhilova
Full-text PDF (1459 kB) Citations (2)
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Abstract: Bogolyubov's functional method of constructing the kinetic equation of gases is used to derive nonlinear hydrodynamic equations of the nonequilibrium thermodynamics of condensed systems. Equations obtained by Mori's method of projection operators are the point of departure. The transport coefficients in the equations are constructed from nonsecular fluxes which do not contain conserved quantities. The resulting hydrodynamic equation is not in general, dependent on a small value of the wave numbers. In the case of small wave numbers, the first terms of the expansion with respect to them of the nonlinear contributions to the hydrodynamic equation are constructed.
Received: 26.06.1973
English version:
Theoretical and Mathematical Physics, 1974, Volume 19, Issue 1, Pages 398–406
DOI: https://doi.org/10.1007/BF01037197
Bibliographic databases:
Language: Russian
Citation: L. Ts. Adzhemyan, F. M. Kuni, T. Yu. Novozhilova, “Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics”, TMF, 19:1 (1974), 125–136; Theoret. and Math. Phys., 19:1 (1974), 398–406
Citation in format AMSBIB
\Bibitem{AdzKunNov74}
\by L.~Ts.~Adzhemyan, F.~M.~Kuni, T.~Yu.~Novozhilova
\paper Method of Bogolyubov's kinetic equation in nonlinear statistical hydrodynamics
\jour TMF
\yr 1974
\vol 19
\issue 1
\pages 125--136
\mathnet{http://mi.mathnet.ru/tmf3571}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468973}
\zmath{https://zbmath.org/?q=an:0306.76056}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 1
\pages 398--406
\crossref{https://doi.org/10.1007/BF01037197}
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  • https://www.mathnet.ru/eng/tmf3571
  • https://www.mathnet.ru/eng/tmf/v19/i1/p125
    • This publication is cited in the following 2 articles:
    1. S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69  mathnet  crossref  zmath
    2. L. Ts. Adzhemyan, F. M. Kuni, “Noncumulant projection and elimination of time derivatives from the nonequilibrium distribution function”, Theoret. and Math. Phys., 24:3 (1975), 895–904  mathnet  crossref
    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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