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Non-stationary regimes of surface gravity wave turbulence
Authors:R Bedard  S Lukaschuk  S Nazarenko
Institution:1218. Department of Engineering, University of Hull, Hull, HU6 7RX, UK
2218. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
Abstract:We present experimental results about rising and decaying gravity wave turbulence in a large laboratory flume. We consider the time evolution of the wave energy spectral components in ω- and k-domains and demonstrate that emerging wave turbulence can be characterized by two time scales—a short dynamical scale due to nonlinear wave interactions and a longer kinetic time scale characterizing formation of a stationary wave energy spectrum. In the decay regime we observed the maximum of the wave energy spectrum decreasing in time initially as the power law, ∝t ?1/2, as predicted by the weak turbulence theory, and then exponentially due to viscous friction.
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