Elena Tobisch, A. Kartashov,
"Energy Spectra of Ensemble of Nonlinear Capillary Waves on a Fluid"
, in Journal of Marine Science and Engineering, Vol. 9, Nummer 12, 2021, ISSN: 2077-1312
Original Titel:
Energy Spectra of Ensemble of Nonlinear Capillary Waves on a Fluid
Sprache des Titels:
Englisch
Original Kurzfassung:
The problem of spectral description of the nonlinear capillary waves on the fluid surface is discussed. Usually, three-wave nonlinear interactions are considered as a major factor determined by the energy spectrum of these waves in the kinetic wave turbulent regime. We demonstrate that four-wave interactions should be taken into account. In this case, there are two possible scenarios for the transfer of energy over the wave spectrum: kinetic and dynamic. The first is described by the averaged stochastic interaction of waves using the kinetic equation, while the second is described by dynamic equations written for discrete modes. In this article, we compare the time scales, spectral shapes, and other properties of both energy cascades, allowing them to be identified in an experiment.
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