RENORMALIZATION-GROUP IN THE THEORY OF FULLY-DEVELOPED TURBULENCE - THE PROBLEM OF INFRARED-ESSENTIAL CORRECTIONS TO THE NAVIER-STOKES EQUATION

Citation
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
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
107
Issue
1
Year of publication
1996
Pages
456 - 468
Database
ISI
SICI code
0040-5779(1996)107:1<456:RITTOF>2.0.ZU;2-K
Abstract
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.