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Titlebook: Wave Turbulence; Sergey Nazarenko Book 2011 Springer-Verlag Berlin Heidelberg 2011 fluid vortices.geophysical flows.nonlinear optics.nonli

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Steady State and Evolving Solutions for the Wave Spectrumre studied. Self-similar non-stationaryspectra are considered with emphasis on significant differences arising in their evolutionfor the finite-capacity and the infinite-capacity systems. Anisotropic wave media arestudied. The theory of locality and stability of the WT spectra is presented.
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Steady State and Evolving Solutions for the Wave Spectrumre studied. Self-similar non-stationaryspectra are considered with emphasis on significant differences arising in their evolutionfor the finite-capacity and the infinite-capacity systems. Anisotropic wave media arestudied. The theory of locality and stability of the WT spectra is presented.
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Wave Turbulence as a Part of General Turbulence Theory the Kolmogorov-Obukhov theory and the dual cascade in 2D hydrodynamic turbulence. Common anddistinct features between Wave Turbulence and hydrodynamic turbulence are discussed,thereby explaining why Wave Turbulence is a valid and important part of the GeneralTurbulence subject.
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For the Impatient: A WT Cheatsheetn relation identifying theorder of the resonant wave interactions, and on subsequent dimensional derivation ofthe wave spectra assuming that the wave system has only one relevant dimensionalphysical quantity - for example the gravity constant for the gravity water waves, surfacetension coefficient f
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Statistical Objects in Wave Turbulencentensities and phasefactors, joint probability density functions (PDFs) of the wave amplitudes, partial andsingle-mode PDFs, multi-mode and single-mode generating functions, moments of thewave intensity and the wave spectrum. Random phase and amplitude (RPA) fields aredefined, and the Wick’s contrac
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