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On the 100th anniversary of the birth of V.L. Ginzburg. Methodological notes


Properties of turbulence driven by random external force in the Burgers model

,
Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

This paper reviews the statistical properties and calculates the velocity structure functions of flows produced by a large-scale random scaling force in the Burgers model.

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Fulltext is also available at DOI: 10.3367/UFNe.2016.07.037865
Keywords: turbulence, statistics, Burgers equation, scaling
PACS: 05.40.−a, 47.10.ad, 47.27.E− (all)
DOI: 10.3367/UFNe.2016.07.037865
URL: https://ufn.ru/en/articles/2016/12/d/
000396007200003
2-s2.0-85014897582
2016PhyU...59.1241Z
Citation: Zybin K P, Il’yn A S "Properties of turbulence driven by random external force in the Burgers model" Phys. Usp. 59 1241–1244 (2016)
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Received: 31st, May 2016, revised: 11th, July 2016, 13th, July 2016

Оригинал: Зыбин К П, Ильин А С «Свойства турбулентности, возникающей под воздействием внешней случайной силы в модели Бюргерса» УФН 186 1349–1353 (2016); DOI: 10.3367/UFNr.2016.07.037865

References (17) ↓ Cited by (2) Similar articles (1)

  1. Bec J, Khanin K Phys. Rep. 447 1 (2007)
  2. Gurbatov S N, Malakhov A N, Saichev A I Nelineinye Sluchainye Volny v Sredakh bez Dispersii (Ser. Sovremennye problemy fiziki, Vyp. 81) (M.: Nauka, 1990); Per. na angl. yaz., Gurbatov S N, Malakhov A N, Saichev A I Nonlinear Random Waves And Turbulence In Nondispersive Media. Waves, Rays, Particles (Manchester: Manchester Univ. Press, 1991)
  3. Gurbatov S N, Rudenko O V, Saichev A I Volny i Struktury v Nelineinykh Sredakh bez Dispersii. Prilozhenie k Nelineinoi Akustike (M.: Fizmatlit, 2008); Per. na angl. yaz., Gurbatov S N, Rudenko O V, Saichev A I Waves And Structures In Nonlinear Nondispersive Media. General Theory And Applications To Nonlinear Acoustics (Berlin: Springer-Verlag, 2011)
  4. Gurbatov S N, Saichev A I, Yakushkin I G Usp. Fiz. Nauk 141 221 (1983); Gurbatov S N, Saichev A I, Yakushkin I G Sov. Phys. Usp. 26 857 (1983)
  5. Rudenko O V Usp. Fiz. Nauk 149 413 (1986); Rudenko O V Sov. Phys. Usp. 29 620 (1986)
  6. Gurbatov S N, Saichev A I, Shandarin S F Usp. Fiz. Nauk 182 233 (2012); Gurbatov S N, Saichev A I, Shandarin S F Phys. Usp. 55 223 (2012)
  7. Frisch U Turbulence. The Legacy Of A.N. Kolmogorov (Cambridge: Cambridge Univ. Press, 1995); Per. na russk. yaz., Frish U Turbulentnost’. Nasledie A.N. Kolmogorova (M.: FAZIS, 1998)
  8. Agafontsev D S, Kuznetsov E A, Mailybaev A A Phys. Fluids 27 085102 (2015)
  9. Kardar M, Parisi G, Zhang Y-C Phys. Rev. Lett. 56 889 (1986)
  10. Barabási A-L, Stanley H E Fractal Concepts In Surface Growth (Cambridge: Cambridge Univ. Press, 1995)
  11. Hayot F, Jayaprakash C Phys. Rev. E 54 4681 (1996)
  12. Chekhlov A, Yakhot V Phys. Rev. E 51 R2739 (1995)
  13. Polyakov A M Phys. Rev. E 52 6183 (1995)
  14. Falkovich G et al. Phys. Rev. E 54 4896 (1996)
  15. Nayfeh A H Perturbation Methods (New York: Wiley, 1973)
  16. Landau L D, Lifshits E M Gidrodinamika (M.: Nauka, 1986); Per. na angl. yaz., Landau L D, Lifshitz E M Fluid Mechanics (Oxford: Pergamon Press, 1987)
  17. Mitra D et al. Phys. Rev. Lett. 94 194501 (2005)

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