Geodesic
Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 122-136 
N. V. Antonov; A. N. Vasil'ev. Renormalization group in the theory of developed turbulence. The problem of justifying the Kolmogorov hypotheses for composite operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 1, pp. 122-136. http://geodesic.mathdoc.fr/item/TMF_1997_110_1_a9/
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     title = {Renormalization group in the theory of developed turbulence. {The} problem of justifying the {Kolmogorov} hypotheses for composite operators},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Stohastic theory of fully developed turbulence is considered within the framework of the field theoretic renormalization group and short-distance expansion. The problem of verification of the Kolmogorov–Obukhov theory is discussed in connection with correlation functions of composite operators. An explicit expression for the critical dimensionality of a general composite operator is obtained. The Second Kolmogorov hypothesis (indepedence of the correlators on the viscosity) is proved for an arbitrary UV-finite composite operator. It is shown that there exists an infinite number of Galilean invariant scalar operators having negative critical dimensionalities.

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