Geodesic
The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 2, pp. 294-308 
L. Ts. Adzhemyan; M. Yu. Nalimov. The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 2, pp. 294-308. http://geodesic.mathdoc.fr/item/TMF_1992_91_2_a7/
@article{TMF_1992_91_2_a7,
     author = {L. Ts. Adzhemyan and M. Yu. Nalimov},
     title = {The principle of maximum randomness in the theory of fully developed {turbulence.~I.} {Homogeneous} isotropic turbulence},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {294--308},
     year = {1992},
     volume = {91},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_91_2_a7/}
}
TY  - JOUR
AU  - L. Ts. Adzhemyan
AU  - M. Yu. Nalimov
TI  - The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 294
EP  - 308
VL  - 91
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_91_2_a7/
LA  - ru
ID  - TMF_1992_91_2_a7
ER  - 
%0 Journal Article
%A L. Ts. Adzhemyan
%A M. Yu. Nalimov
%T The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 294-308
%V 91
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1992_91_2_a7/
%G ru
%F TMF_1992_91_2_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

A new approach to the description of fully developed turbulence is developed on the basis of the maximum entropy principle and the renormalization group. The Kolmogorov dimension for the velocity field is obtained, and a conjecture which explains the experimentally observed deviations from this dimension is proposed. The calculated anomalous dimension of the energy dissipation operator differs from the prediction of Kolmogorov's theory.

[1] Wyld H. W., Ann. Phys., 14 (1961), 143–165 | DOI | MR | Zbl

[2] Kraichnan R. H., J. of Fluid Mechanics, 5 (1959), 497–543 | DOI | MR | Zbl

[3] Edwards, McComb, J. Phys. A (Gen. Phys.), 2 (1969), 157–171 | DOI | Zbl

[4] Brown T. M., J. Phys. A (Math. Gen.), 15 (1982), 2285–2306 | DOI | MR | Zbl

[5] De Dominicis C., Martin P. C., Phys. Rev. A, 29 (1979), 419–421 | DOI

[6] Adzhemyan L. Ts., Vasilev A. N., Pismak Yu. M., TMF, 57:2 (1983), 268–281 | MR | Zbl

[7] Antonia R. A., Satyaprakash B. R., Hussain A. K. M. F., J. Fluid Mech., 119 (1982), 55–89 | DOI

[8] Anselmet F., Gauge Y., Hopfinger E., Antonia R. A., J. Fluid Mech., 140 (1984), 63–89 | DOI

[9] Patashinskii A. Z., Pokrovskii V. L., Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1982 | MR

[10] 't Hooft G., Nucl. Phys. B, 61:2 (1973), 455–467 | DOI

[11] Kollinz Dzh., Perenormirovka, Mir, M., 1988 | MR

[12] Monin A. S., Yaglom A. M., Statisticheskaya gidromekhanika, t. 2, Nauka, M., 1967

[13] Adzhemyan L. Ts., Antonov N. V., Vasilev A. N., ZhETF, 95 (1989), 1272–1288

[14] Kuznetsov E. A., L'vov V. S., On developed Hydrodynamic turbulence spectra, preprint No 129, Novosibirsk, 1980 | MR

[15] Belinicher V. I., Lvov V. S., ZhETF, 93 (1987), 533–545