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


Antonov N., Borisenok S. , Girina V.

THEORETICAL AND MATHEMATICAL PHYSICS, vol.107, no.1, pp.456-468, 1996 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 107 Issue: 1
  • Publication Date: 1996
  • Doi Number: 10.1007/bf02071453
  • Title of Journal : THEORETICAL AND MATHEMATICAL PHYSICS
  • Page Numbers: pp.456-468

Abstract

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 tills 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 epsilon. This confirms the absence of the crossover and enables Me RG results obtained Sor asymptotically small values of epsilon to be extrapolated to the physical range epsilon > 2.