TY - JOUR

T1 - Renormalization group in the theory of fully developed turbulence. The problem of infrared-essential corrections to the Navier-Stokes equation

AU - Antonov, N. V.

AU - Borisenok, S. V.

AU - Girina, V. I.

PY - 1996/4

Y1 - 1996/4

N2 - Using the RG approach to the theory of fully developed turbulence, we consider the problem of possible IR-essential corrections to the Navier-Stokes equation. We formulate an exact criterion for the "actual IR-essentiality" of the corrections. In accordance with this criterion, we check whether certain classes of composite operators are IR-essential. All of these operators turn out to be actually IR-inessential for arbitrary values of the RG expansion parameter ε. This confirms the absence of the crossover and enables the RG results obtained for asymptotically small values of ε to be extrapolated to the physical range ε > 2.

AB - Using the RG approach to the theory of fully developed turbulence, we consider the problem of possible IR-essential corrections to the Navier-Stokes equation. We formulate an exact criterion for the "actual IR-essentiality" of the corrections. In accordance with this criterion, we check whether certain classes of composite operators are IR-essential. All of these operators turn out to be actually IR-inessential for arbitrary values of the RG expansion parameter ε. This confirms the absence of the crossover and enables the RG results obtained for asymptotically small values of ε to be extrapolated to the physical range ε > 2.

UR - http://www.scopus.com/inward/record.url?scp=0030376268&partnerID=8YFLogxK

U2 - 10.1007/BF02071453

DO - 10.1007/BF02071453

M3 - Article

AN - SCOPUS:0030376268

VL - 107

SP - 456

EP - 468

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -