Nv. Antonov et al., RENORMALIZATION-GROUP IN THE THEORY OF FULLY-DEVELOPED TURBULENCE - THE PROBLEM OF INFRARED-ESSENTIAL CORRECTIONS TO THE NAVIER-STOKES EQUATION, Theoretical and mathematical physics, 107(1), 1996, pp. 456-468
Using the RG approach to the theory of fully developed turbulence, we
consider the problem of possible IR-essential corrections to the Navie
r-Stokes equation. We formulate an exact criterion for the ''actual IR
-essentiality'' of the corrections. In accordance with tills criterion
, we check whether certain classes of composite operators are IR-essen
tial. All of these operators turn out to be actually IR-inessential fo
r arbitrary values of the RG expansion parameter epsilon. This confirm
s the absence of the crossover and enables Me RG results obtained Sor
asymptotically small values of epsilon to be extrapolated to the physi
cal range epsilon > 2.