Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model
Probability
2015-11-09 v2 Analysis of PDEs
Abstract
We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and is unique by means of uniform energy estimates. Moreover, we exploit these results to establish strong existence and uniqueness of the stationary distribution.
Keywords
Cite
@article{arxiv.1410.0500,
title = {Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model},
author = {Luisa Andreis and David Barbato and Francesca Collet and Marco Formentin and Luigi Provenzano},
journal= {arXiv preprint arXiv:1410.0500},
year = {2015}
}
Comments
13 pages