Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 15-23
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N. V. Antonov. On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 15-23. http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a2/
@article{ZNSL_1991_189_a2,
author = {N. V. Antonov},
title = {On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {15--23},
year = {1991},
volume = {189},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a2/}
}
TY - JOUR
AU - N. V. Antonov
TI - On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1991
SP - 15
EP - 23
VL - 189
UR - http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a2/
LA - ru
ID - ZNSL_1991_189_a2
ER -
%0 Journal Article
%A N. V. Antonov
%T On the infrared asymptotics of the velocity-velocity correlator in the theory of the turbulence
%J Zapiski Nauchnykh Seminarov POMI
%D 1991
%P 15-23
%V 189
%U http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a2/
%G ru
%F ZNSL_1991_189_a2
The stochastic theory of the developed turbulence is considered with the random force correlator of the form $k(k^2+m^2)^{-\varepsilon}$, $m$ being the inverse large turbulent scale. The first Kolmogorov hypothesis (i.e., finiteness of the equal time correlator of velocities at $\varepsilon<2$) is justified using the Wilson's operator product expansion.
