Modèle phénoménologique pour la prédiction de spectres stationnaires et instationnaires de turbulence d'ondes de plaques

Abstract : Wave turbulence theory aims at describing the long time behavior of weakly non-linear, out-of-equilibrium systems. For thin vibrating plates, the framework allows predicting a Kolmogorov-Zakharov spectrum with an energy flux from the injection to the dissipative scales. In this contribution, a phenomenological equation for the energy spectrum is established from the general solutions (Rayleigh-Jeans and Kolmogorov-Zakharov) of the kinetic equation. This model equation is then used in order to establish the self-similar solutions of the system in the case of non-stationary turbulence.
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Thomas Humbert, C Josserand, Olivier Cadot, Cyril Touzé. Modèle phénoménologique pour la prédiction de spectres stationnaires et instationnaires de turbulence d'ondes de plaques. Rencontres du non linéaire, Mar 2014, Paris, France. ⟨hal-01134705⟩

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