Some specific features of the ε expansion in the theory of turbulence and the possibility of its improvement

Journal of Physics A: Mathematical and General

Volumn 39, Issue 25, 2006, Pages 7789-7799

  Adzhemyan, L Ts ^a   Honkonen, J ^b,c   Kim, T L ^a   Kompaniets, M V ^a   Sladkoff, L ^a   Vasil'ev, A N ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b Res Inst for Theoretical Physics   (Finland)

^c NATIONAL DEFENCE UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745086870     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/25/S01     Document Type: Conference Paper

References (38)

1. Monin A S and Yaglom A M 1975 Statistical Fluid Mechanics: Mechanics of Turbulence vol 2 (Cambridge, MA: MIT Press)
2. Falkovich G, Gawdzki K and Vergassola M 2001 Rev. Mod. Phys. 73 913
3. Barenblatt G I, Chorin A J and Prostokishin V M 1999 Physica D 127 105
4. Benzi R, Ciliberto S, Baudet C and Ruiz-Chavarria G 1999 Physica D 127 111
5. Forster D, Nelson D R and Stephen M J 1976 Phys. Rev. Lett. 36 867
6. Forster D, Nelson D R and Stephen M J 1977 Phys. Rev. A 16 732
7. De Dominicis C and Martin P C 1979 Phys. Rev. A 19 419
8. Adzhemyan L Ts, Antonov N V, Kompaniets M V and Vasil'ev A N 2003 Int. J. Mod. Phys. B 17 2137
9. Adzhemyan L Ts, Antonov N V and Vasiliev A N 1999 The Field Theoretic Renormalization Group in Fully Developed Turbulence (London: Gordon and Breach)
10. Adzhemyan L Ts, Antonov N V, Barinov V A, Kabrits Yu S and Vasil'ev A N 2001 Phys. Rev. E 63 025303 (R)
11. Adzhemyan L Ts, Antonov N V, Barinov V A, Kabrits Yu S and Vasil'ev A N 2001 Phys. Rev. E 64 019901 (E)
12. Adzhemyan L Ts, Antonov N V, Barinov V A, Kabrits Yu S and Vasil'ev A N 2001 Phys. Rev. E 64 056306
13. Adzhemyan L Ts, Antonov N V, Honkonen J and Kim T L 2005 Phys. Rev. E 71 016303
14. Adzhemyan L Ts, Vasil'ev A N and Hnatich M 1984 Teor. Mat. Fiz. 58 72
15. Fournier J D, Sulem P L and Pouquet A 1982 J. Phys. A: Math. Gen. 15 1393
16. Adzhemyan L Ts, Antonov N V and Vasil'ev A N 1996 Usp. Fiz. Nauk 166 1257
17. Adzhemyan L Ts, Antonov N V and Vasil'ev A N 1996 Phys. Usp. 39 1193 (Engl. Transl.)
18. Adzhemyan L Ts, Antonov N V and Vasil'ev A N 1989 Zh. Sksp. Teor. Fiz. 95 1272
19. Adzhemyan L Ts, Antonov N V and Vasil'ev A N 1989 Sov. Phys.-JETP 68 733 (Engl. Transl.)
20. Yakhot V and Orszag S A 1986 Phys. Rev. Lett. 57 1722
21. Yakhot V and Orszag S A 1986 J. Sci. Comput. 1 3
22. Dannevik W P, Yakhot V and Orszag S A 1987 Phys. Fluids 30 2021
23. Zhou Y, Vahala G and Hossain M 1989 Phys. Rev. A 40 5865
24. Carati D 1990 Phys. Rev. A 41 3129
25. Carati D 1990 Phys. Fluids A 2 1854
26. Lam S H 1992 Phys. Fluids A 4 1007
27. Giles M J 1994 Phys. Fluids 6 595
28. Nagano Y and Itazu Y 1997 Fluid Dyn. Res. 20 157
29. Sreenivasan K R 1995 Phys. Fluids 7 2778
30. Zinn-Justin J 1996 Quantum Field Theory and Critical Phenomena (Oxford: Clarendon)
31. Honkonen J, Komarova M V and Nalimov M Yu 2005 Nucl. Phys. B 707 493
32. Adzhemyan L Ts, Honkonen J, Kompaniets M V and Vasil'ev A N 2003 Phys. Rev. E 68 055302 (R)
33. Adzhemyan L Ts, Honkonen J, Kompaniets M V and Vasil'ev A N 2005 Phys. Rev. E 71 036305
34. Honkonen J and Nalimov M Yu 1996 Z. Phys. B 99 297
35. Adzhemyan L Ts, Honkonen J, Kim T L and Sladkoff L 2005 Phys. Rev. E 71 056311
36. Monin A S and Yaglom Y M 1971 Statistical Fluid Mechanics: Mechanics of Turbulence vol 1 (Cambridge, MA: MIT Press)
37. Chua L P and Antonia R A 1990 Int. J. Heat Mass Transfer 33 331
38. Chang K-A and Cowen E A 2002 J. Eng. Mech. 128 1082