most citedNumerical simulations of a stochastic dynamics leading to cascades and loss of regularity: applications to fluid turbulence and generation of fractional Gaussian fields

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math.AP2024

Rigorous derivation of damped-driven wave turbulence theory

Ricardo Grande, Zaher Hani

We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schrödinger equation with an additive stochastic forcing and a viscous dissipation. The im…