American Institute of Mathematical Sciences

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June  2010, 13(4): 819-840. doi: 10.3934/dcdsb.2010.13.819

Laboratory experiments on wave turbulence

Eric Falcon 1,

1. 

Laboratoire Matière et Systèmes Complexes (MSC), Université Paris Diderot, CNRS (UMR 7057), 10 rue A. Domon & L. Duquet, 75 013 Paris, France

Received  March 2009 Revised  June 2009 Published  March 2010

This review paper is devoted to a presentation of recent progress in wave turbulence. I first present the context and state of the art of this field of research both experimentally and theoretically. I then focus on the case of wave turbulence on the surface of a fluid, and I discuss the main results obtained by our group: caracterization of the gravity and capillary wave turbulence regimes, the first observation of intermittency in wave turbulence, the occurrence of strong fluctuations of injected power in the fluid, the observation of a pure capillary wave turbulence in low gravity environment and the observation of magnetic wave turbulence on the surface of a ferrofluid. Finally, open questions in wave turbulence are discussed.
Keywords: intermittency, experiments, surface waves, capillary waves., energy flux, Wave turbulence, gravity waves, N-wave interaction process, power spectrum, weak turbulence.
Mathematics Subject Classification: Primary: 7605, 76B15; Secondary: 76F99, 76D3.
Citation: Eric Falcon. Laboratory experiments on wave turbulence. Discrete & Continuous Dynamical Systems - B, 2010, 13 (4) : 819-840. doi: 10.3934/dcdsb.2010.13.819
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