ABSTRACT
Turbulence is a general term used for describing the erratic motions displayed by nonlinear systems that are driven far from their equilibrium position and thus display complicated motions involving different time and length scales. Wave turbulence shares many common ideas with turbulence, in particular as being a statistical theory for out-of-equilibrium systems. A main difference resides in the fact that the persistence of waves is assumed. The solutions of the kinetic equation have been derived starting from the mid-1960s and correspond to energy spectra with power-law dependence on the wavenumber. The quadratic nonlinearity of the equations for imperfect plates translates in a 3-waves process as a correction to the 4-waves interactions of the perfectly flat plate. When tracking the wave packets along their trajectory at the group velocity, the magnitude of the correlation of the wave packet magnitude is seen to decay with the propagation time.
