Skip to main content
SpringerLink
Log in

Equivalence of measures and stochastic equations for turbulent flows

  • Physics
  • Published:
Doklady Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. N. Kolmogorov, Dokl. Akad. Nauk 26(1), 6 (1940).

    Google Scholar 

  2. L. D. Landau, Dokl. Akad. Nauk 44(8), 339 (1944).

    Google Scholar 

  3. E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963).

    Article  ADS  Google Scholar 

  4. D. Ruelle and F. Takens, Communs. Math. Phys. 20, 167 (1971).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. V. V. Struminskii, Dokl. Akad. Nauk 307(3), 564 (1989).

    MathSciNet  ADS  Google Scholar 

  6. Yu. L. Klimontovich, Usp. Fiz. Nauk 158B1, 59 (1989).

    Article  MathSciNet  Google Scholar 

  7. V. I. Arnol’d, Theory of Catastrophes (Nauka, Moscow, 1990) [in Russian].

    Google Scholar 

  8. R. Gilmor, Applied Theory of Catastrophes (Mir, Moscow, 1984) [in Russian].

    Google Scholar 

  9. G. Haller, Chaos Near Resonance (Springer, Berlin, 1999).

    Book  MATH  Google Scholar 

  10. A. V. Gaponov-Grekhov and M. I. Rabinovich, Physics of XX Century: Results and Prospects (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

  11. P. Khalmosh, Theory of Measures (Faktorial Press, Moscow, 2003) [in Russian].

    Google Scholar 

  12. G. Shlikhting, Theory of Boundary Layer (Nauka, Moscow, 1969) [in Russian].

    Google Scholar 

  13. A. S. Monin and A. M. Yaglom, Statistical Hydrodynamics (Nauka, Moscow, 1965), Vol. 1 [in Russian].

    Google Scholar 

  14. S. A. Orzag and L. C. Kells, J. Fluid Mech. 96(1), 159 (1980).

    Article  ADS  Google Scholar 

  15. A. V. Dmitrenko, The Theory of Equivalent Measures and The Theory of Sets with Repetitive, Counting Fractal Elements. Stochastic Thermodynamics and Turbulence. The Correlator “Determinancy-random” (Galleya-print, Moscow, 2013 (in press)) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University of Railway Engineering (MIIT), Obraztsova Street 9, Moscow, 127994, Russian Federation

    A. V. Dmitrenko

Authors
  1. A. V. Dmitrenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Dmitrenko.

Additional information

Original Russian Text © A.V. Dmitrenko, 2013, published in Doklady Akademii Nauk, 2013, Vol. 450, No. 6, pp. 651–658.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dmitrenko, A.V. Equivalence of measures and stochastic equations for turbulent flows. Dokl. Phys. 58, 228–235 (2013). https://doi.org/10.1134/S1028335813060098

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335813060098

Keywords

Search

Navigation