Finite-dimensional distribution functions in the statistical theory of turbulence
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 1, pp. 131-141
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Closed equations are obtained for the probability densities for the values of the turbulent
velocity of an incompressible liquid at one and two points. The methods of nonequilibrium
statistical mechanics [1] and quantum field theory [2] are used in the derivation. It is shown
that the point of departure in the formalism is an equation of Liouville type with an interaction
constant of order unity for all Reynolds numbers. The motives behind the approach to
the turbulence problem based on the formalism of finite-dimensional distribution functions
are discussed.
@article{TMF_1973_17_1_a11,
author = {T. L. Perel'man and V. A. Sosinovich},
title = {Finite-dimensional distribution functions in the statistical theory of turbulence},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {131--141},
publisher = {mathdoc},
volume = {17},
number = {1},
year = {1973},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a11/}
}
TY - JOUR AU - T. L. Perel'man AU - V. A. Sosinovich TI - Finite-dimensional distribution functions in the statistical theory of turbulence JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1973 SP - 131 EP - 141 VL - 17 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a11/ LA - ru ID - TMF_1973_17_1_a11 ER -
%0 Journal Article %A T. L. Perel'man %A V. A. Sosinovich %T Finite-dimensional distribution functions in the statistical theory of turbulence %J Teoretičeskaâ i matematičeskaâ fizika %D 1973 %P 131-141 %V 17 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a11/ %G ru %F TMF_1973_17_1_a11
T. L. Perel'man; V. A. Sosinovich. Finite-dimensional distribution functions in the statistical theory of turbulence. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 1, pp. 131-141. http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a11/