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Stationary Spectra of Weak Wave Turbulence

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Part of the book series: Springer Series in Nonlinear Dynamics ((SSNONLINEAR))

Abstract

This is the key chapter of the first volume. Here we deal with stationary distributions of weak turbulence. In Sects. 3.1–4 we describe the universal Kolmogorov-like spectra in the inertial interval. We obtain the Kolmogorov spectra as exact solutions of kinetic equations for scale-invariant media, both isotropic and nonisotropic, and for nearly scale-invariant ones. Section 3.1.5 deals with the structure of a stationary spectrum in the pumping and damping regions.

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© 1992 Springer-Verlag Berlin Heidelberg

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Zakharov, V.E., L’vov, V.S., Falkovich, G. (1992). Stationary Spectra of Weak Wave Turbulence. In: Kolmogorov Spectra of Turbulence I. Springer Series in Nonlinear Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50052-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-50052-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50054-1

  • Online ISBN: 978-3-642-50052-7

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