Mean-field approximation and a small parameter in turbulence theory

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 2, 2001, Pages 11-

  Yakhot, Victor ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

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Indexed keywords

EID: 85035304812     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.026307     Document Type: Article

References (25)

1. M. Cherkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 52, 4924 (1995).
2. K. Gawedzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995).
3. B. I. Shraiman and E. D. Siggia, C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. 321, 279 (1995).
4. L. Smith and V. Yakhot, J. Fluid Mech. 274, 115 (1994).
5. L. Smith and V. Yakhot, Phys. Rev. Lett. 71, 352 (1993).
6. P. Tabeling and J. Paret, Phys. Fluids 12, 3126 (1998).
7. G. Boffetta, A. Celani, and M. Vergassola, Phys. Rev. E 61, 29 (2000).
8. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
9. U. Frisch and J. D. Fournier, Phys. Rev. A 17, 747 (1978).
10. V. Yakhot and S. A. Orszag, Phys. Rev. Lett. 57, 1722 (1986).
11. V. Yakhot, Phys. Rev. E 60, 5544 (1999).
12. A. M. Polyakov, Phys. Rev. E 52, 6183 (1995).
13. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1998), p. 14.
14. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, 1971), Vol. 1.
15. Ya. G. Sinai and V. Yakhot, Phys. Rev. Lett. 63, 1962 (1989).
16. R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
17. Yakhot Orszag, J. Sci. Comput. 1, 3 (1986).
18. V. Yakhot, Phys. Rev. E 55, 329 (1997).
19. Phys. Rev. EV. Yakhot57, 1737 (1998).
20. K. R. Sreenivasan (private communication).
21. M. Jensen (private communication).
22. M. Jensen, P. Guliani, and V. Yakhot (unpublished).
23. A. M. Polyakov, Sov. Phys. JETP 34, 1177 (1972).
24. A. M. Polyakov (unpublished).
25. R. Hill (private communication).