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Wave turbulence buildup in a vibrating plate

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Abstract

We report experimental and numerical results on the buildup of the energy spectrum in wave turbulence of a vibrating thin elastic plate. Three steps are observed: first a short linear stage, then the turbulent spectrum is constructed by the propagation of a front in wave number space and finally a long time saturation due to the action of dissipation. The propagation of a front at the second step is compatible with scaling predictions from the Weak Turbulence Theory.

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Authors and Affiliations

  1. Laboratorio de Fluidodinamica, CONICET- Facultad de Ingenieria, Universidad de Buenos Aires, Paseo Colón 850 C1063, ACV Buenos Aires, Argentina

    María Inés Auliel

  2. Universidad Nacional de Tres de Febrero, Caseros, Argentina

    María Inés Auliel

  3. Laboratoire des Ecoulements Géophysiques et Industriels, Université Grenoble Alpes, CNRS, 38000, Grenoble, France

    María Inés Auliel & Nicolas Mordant

  4. Department of Applied Mathematics, University of Colorado, Boulder, CO, 80309-0526, USA

    Benjamin Miquel

  5. Institut Universitaire de France, 103, bd Saint Michel, 75005, Paris, France

    Nicolas Mordant

Authors
  1. María Inés Auliel
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  2. Benjamin Miquel
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  3. Nicolas Mordant
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Correspondence to Nicolas Mordant.

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Auliel, M.I., Miquel, B. & Mordant, N. Wave turbulence buildup in a vibrating plate. Eur. Phys. J. B 88, 276 (2015). https://doi.org/10.1140/epjb/e2015-60256-5

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  • DOI: https://doi.org/10.1140/epjb/e2015-60256-5

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