# Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence

@article{Nazarenko2016SelfsimilarFO, title={Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence}, author={S. Nazarenko and V.N.Grebenev}, journal={arXiv: Fluid Dynamics}, year={2016} }

The last stage of evolution toward the stationary Kolmogorov spectrum of hydrodynamic turbulence is studied using the Leith model. This evolution is shown to manifest itself as a reflection wave in the wavenumber space propagating from the largest toward the smallest wavenumbers, and is described by a self-similar solution of a new (third) kind. This stage follows the previously studied stage of an initial explosive propagation of the spectral front from the smallest to the largest wavenumbers… Expand

#### 4 Citations

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Simon Thalabard,1, a) Sergey Medvedev,2, 3, b) Vladimir Grebenev,2, c) and Sergey Nazarenko4, d) 1)Instituto Nacional de Matemática Pura e Aplicada – IMPA, 22460-320 Rio de Janeiro, Brazil 2)Federal… Expand

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