Summary
Nonstationary regimes of the wave turbulence evolution are considered in the framework of isotropic kinetic equation. It is predicted analytically and confirmed by numerical experiment that there is a class of wave systems in which any initial distribution of the turbulence energy ink-space comes into a universal, Kolmogorovtype spectrum in a finite time. Before and after the formation of the Kolmogorov spectrum, two different self-similar regimes of evolution occur: the first one is responsible for explosively forming the universal spectrum and the second one determines energy dissipation.
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Communicated by Stephen Wiggins
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Falkovich, G.E., Shafarenko, A.V. Nonstationary wave turbulence. J Nonlinear Sci 1, 457–480 (1991). https://doi.org/10.1007/BF02429849
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DOI: https://doi.org/10.1007/BF02429849