Linear Stochastic Dyadic model

Abstract

We discuss a stochastic interacting particles' system connected to dyadic models of turbulence, defining suitable classes of solutions and proving their existence and uniqueness. We investigate the regularity of a particular family of solutions, called moderate, and we conclude with existence and uniqueness of invariant measures associated with such moderate solutions.

References in corpus (10)

• Cascades and transitions in turbulent flows
• An inviscid dyadic model of turbulence: the fixed point and Onsager's conjecture
• The vanishing viscosity limit for a dyadic model
• Stochastic Navier-Stokes Equations and Related Models
• Smooth solutions for the dyadic model
• Anomalous dissipation in a stochastic inviscid dyadic model
• A dyadic model on a tree
• Structure function and fractal dissipation for an intermittent inviscid dyadic model
• Stochastic inviscid shell models: well-posedness and anomalous dissipation
• Conservative interacting particles system with anomalous rate of ergodicity