On the strict justification of the theory of wave turbulence for the stochastically perturbed nonlinear Schrodinger equation.

The theory of wave turbulence (WT) has been intensively developing in physical works since the 1960s. It can be considered as a kinetic theory of interacting nonlinear waves, parallel to the famous kinetic theory of R. Peierls, and as a toy model for the theory of strong turbulence.