Anomalous dissipation in a stochastic inviscid dyadic model
Probability
2012-02-22 v3 Analysis of PDEs
Abstract
A stochastic version of an inviscid dyadic model of turbulence, with multiplicative noise, is proved to exhibit energy dissipation in spite of the formal energy conservation. As a consequence, global regular solutions cannot exist. After some reductions, the main tool is the escape bahavior at infinity of a certain birth and death process.
Cite
@article{arxiv.1007.1004,
title = {Anomalous dissipation in a stochastic inviscid dyadic model},
author = {David Barbato and Franco Flandoli and Francesco Morandin},
journal= {arXiv preprint arXiv:1007.1004},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.1214/11-AAP768 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)