On developed hydrodynamic turbulence spectra

E. A. Kuznetsov, V. S. L'vov

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


New results in the theory of the developed hydrodynamic turbulence spectra are reviewed. Within the limits of the hypothesis of interaction locality it is shown that the series of equations for the moments has a scale-invariant solution with the Kolmogorov index values. With the help of the Wyld diagram technique the equations in the Direct Interaction Approximation are formulated which accurately take into account the transfer effect and have the precise solution in the form of the Kolmogorov spectrum. In the framework of these equations the corrections to the Kolmogorov spectrum due to gyrotropy and compressibility are found.

Original languageEnglish
Pages (from-to)203-217
Number of pages15
JournalPhysica D: Nonlinear Phenomena
Issue number1
Publication statusPublished - Jan 1981
Externally publishedYes


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