Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence

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

Volumn 60, Issue 4, 1999, Pages 4043-4051

  Antonov, N V ^a   Hnatich, M ^b   Nalimov, M Yu ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF EXPERIMENTAL PHYSICS   (Slovakia)

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EID: 4243144282     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4043     Document Type: Article

References (40)

1. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. 2.
2. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 301 (1941) [English translation: Proc. R. Soc. London, Ser. A 434, 9 (1991)].
3. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
4. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. A 16, 732 (1977).
5. C. De Dominicis and P. C. Martin, Phys. Rev. A 19, 419 (1978).
6. L. Ts. Adzhemyan, A. N. Vasil’ev, and Yu. M. Pis’mak, Theor. Math. Phys. 57, 1131 (1983).
7. J. D. Fournier and U. Frish, Phys. Rev. A 28, 1000 (1983).
8. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Usp. Fiz. Nauk 166, 1257 (1996) [Phys. Usp. 39, 1193 (1996)].
9. R. Rubinstein and J. M. Barton, Phys. Fluids 30, 2986 (1987).
10. L. Ts. Adzhemyan, M. Hnatich, D. Horvath, and M. Stehlik, Int. J. Mod. Phys. B 9, 3401 (1995).
11. T. L. Kim and A. V. Serdukov, Theor. Math. Phys. 105, 412 (1995).
12. J. Buša, M. Hnatich, J. Honkonen, and D. Horvath, Phys. Rev. E 55, 381 (1997).
13. I. Staroselsky, V. Yakhot, S. Kida, and S. A. Orszag, Phys. Rev. Lett. 65, 171 (1990).
14. L. Ts. Adzhemyan, M. Yu. Nalimov, and M. M. Stepanova, Theor. Math. Phys. 104, 971 (1995).
15. D. Yu. Volchenkov and M. Yu. Nalimov, Theor. Math. Phys. 106, 375 (1996).
16. N. V. Antonov, M. Yu. Nalimov, and A. A. Udalov, Theor. Math. Phys. 110, 305 (1997).
17. L. Ts. Adzhemyan, A. N. Vasil’ev, and M. Hnatich, Theor. Math. Phys. 74, 115 (1988).
18. L. Ts. Adzhemyan, N. V. Antonov, and T. L. Kim, Theor. Math. Phys. 100, 1086 (1994)
19. Theor. Math. Phys.N. V. Antonov, S. V. Borisenok, and V. I. Girina, 106, 75 (1996).
20. V. S. L’vov and A. V. Mikhailov (unpublished).
21. N. V. Antonov and A. V. Runov, Theor. Math. Phys. 112, 1131 (1997).
22. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Wiley, New York, 1980); J. Collins, Renormalization (Cambridge University Press, London, 1984).
23. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973)
24. H. K. Janssen, Z. Phys. B 23, 377 (1976)
25. Z. Phys. BR. Bausch, H. K. Janssen, and H. Wagner, 24, 113 (1976).
26. C. De Dominicis, J. Phys. (Paris), Colloq. 37, C1-247 (1976).
27. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Zh. Éksp. Teor. Fiz. 95, 1272 (1989) [Sov. Phys. JETP 68, 733 (1989)].
28. N. V. Antonov, S. V. Borisenok, and V. I. Girina, Theor. Math. Phys. 107, 456 (1996).
29. N. V. Antonov and A. N. Vasil’ev, Theor. Math. Phys. 110, 97 (1997).
30. V. S. L’vov, Phys. Rep. 207, 1 (1991).
31. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
32. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Phys. Rev. E 58, 1823 (1998)
33. Phys. Rev. EL. Ts. Adzhemyan and N. V. Antonov, 58, 7381 (1998)
34. N. V. Antonov, e-print chao-dyn/9808011 [Phys. Rev. E (to be published)].
35. R. H. Kraichnan, Phys. Fluids 11, 945 (1968)
36. R. H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).
37. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 52, 4924 (1995)
38. K. Gawȩdzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995)
39. Phys. Rev. Lett.M. Chertkov and G. Falkovich, 76, 2706 (1996)
40. D. Bernard, K. Gawȩdzki, and A. Kupiainen, Phys. Rev. E 54, 2564 (1996).