This article is cited in 10 papers

Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy

N. V. Antonov, A. V. Runov

Saint-Petersburg State University

Abstract: Statistical model of the fully developed turbulence in the two-dimensional space is considered by means of the renormalization group method in the weak anisotropy approximation. It is shown that the corresponding fixed point of the renormalization group equations is not infrared stable, hence the weak anisotropy approximation is not valid for the description of the two-dimensional turbulence.

Received: 24.12.1996

DOI: 10.4213/tmf1053

 English version: Theoretical and Mathematical Physics, 1997, 112:3, 1131–1139

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