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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 17, Number 1, Pages 131–141 (Mi tmf3931)  
This article is cited in 2 scientific papers (total in 2 papers)

Finite-dimensional distribution functions in the statistical theory of turbulence

T. L. Perel'man, V. A. Sosinovich
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Abstract: Closed equations are obtained for the probability densities for the values of the turbulent velocity of an incompressible liquid at one and two points. The methods of nonequilibrium statistical mechanics [1] and quantum field theory [2] are used in the derivation. It is shown that the point of departure in the formalism is an equation of Liouville type with an interaction constant of order unity for all Reynolds numbers. The motives behind the approach to the turbulence problem based on the formalism of finite-dimensional distribution functions are discussed.
Received: 14.07.1972
English version:
Theoretical and Mathematical Physics, 1973, Volume 17, Issue 1, Pages 1040–1047
DOI: https://doi.org/10.1007/BF01035587
Bibliographic databases:
Language: Russian
Citation: T. L. Perel'man, V. A. Sosinovich, “Finite-dimensional distribution functions in the statistical theory of turbulence”, TMF, 17:1 (1973), 131–141; Theoret. and Math. Phys., 17:1 (1973), 1040–1047
Citation in format AMSBIB
\Bibitem{PerSos73}
\by T.~L.~Perel'man, V.~A.~Sosinovich
\paper Finite-dimensional distribution functions in the statistical theory of turbulence
\jour TMF
\yr 1973
\vol 17
\issue 1
\pages 131--141
\mathnet{http://mi.mathnet.ru/tmf3931}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468606}
\zmath{https://zbmath.org/?q=an:0284.76043}
\transl
\jour Theoret. and Math. Phys.
\yr 1973
\vol 17
\issue 1
\pages 1040--1047
\crossref{https://doi.org/10.1007/BF01035587}
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    • This publication is cited in the following 2 articles:
    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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