Well Posedness and Limit Theorems for a Class of Stochastic Dyadic Models

We consider stochastic inviscid dyadic models with energy-preserving noise. It is shown that the admit weak solutions which are unique in law. Under a certain scaling limit of noise, converge weakly to deterministic viscous model, for we provide explicit convergence rates terms parameters A central theorem underlying such also established. In case model viscous, show phenomenon dissipation enhancement suitably chosen