Linear Stochastic Dyadic model
arXiv:2010.14341 · doi:10.1007/s10955-021-02753-x
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.