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
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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.
@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},
publisher = {mathdoc},
volume = {91},
number = {2},
year = {1992},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1992_91_2_a7/ %G ru %F TMF_1992_91_2_a7
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/