RENORMALIZATION-GROUP IN THE THEORY OF 2-DIMENSIONAL TURBULENCE - INSTABILITY OF THE FIXED-POINT WITH RESPECT TO WEAK ANISOTROPY

Authors
ANTONOV NV RUNOV AV
Citation
Nv. Antonov et Av. Runov, RENORMALIZATION-GROUP IN THE THEORY OF 2-DIMENSIONAL TURBULENCE - INSTABILITY OF THE FIXED-POINT WITH RESPECT TO WEAK ANISOTROPY, Theoretical and mathematical physics, 112(3), 1997, pp. 1131-1139
Citations number
11
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
112
Issue
3
Year of publication
1997
Pages
1131 - 1139
Database
ISI
SICI code
0040-5779(1997)112:3<1131:RITTO2>2.0.ZU;2-K
Abstract
A statistical model of fully developed turbulence in two-dimensional s pace is considered by means of the renormalization group method in the weak anisotropy approximation. It is shown that the corresponding fix ed point of the renormalization group equations is not infrared stable . Hence, the weak anisotropy approximation is not valid for describing two-dimensional turbulence.