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Steady State and Evolving Solutions for the Wave Spectrum

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Wave Turbulence

Part of the book series: Lecture Notes in Physics ((LNP,volume 825))

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Abstract

In this Chapter, steady state and evolving solutions of the wave kinetic equation are derived and analysed. They include the Rayleigh-Jeans thermodynamic spectra, Kolmogorov- 11Zakharov (KZ) spectra and other stationary power-law solutions. Wave Turbulence (WT) cascades associated with the KZ spectra are studied. Self-similar non-stationary spectra are considered with emphasis on significant differences arising in their evolution for the finite-capacity and the infinite-capacity systems. Anisotropic wave media are studied. The theory of locality and stability of the WT spectra is presented.

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Authors and Affiliations

  1. Inst. Mathematics, University of Warwick, Gibbet Hill Road, Coventry, CV4 7AL, UK

    Sergey Nazarenko

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  1. Sergey Nazarenko
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Nazarenko, S. (2011). Steady State and Evolving Solutions for the Wave Spectrum. In: Wave Turbulence. Lecture Notes in Physics, vol 825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15942-8_9

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  • DOI: https://doi.org/10.1007/978-3-642-15942-8_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15941-1

  • Online ISBN: 978-3-642-15942-8

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