Anomalous dissipation in a stochastic inviscid dyadic model

Authors
Barbato, David Flandoli, Franco Morandin, Francesco
Citation
Barbato, David et al., Anomalous dissipation in a stochastic inviscid dyadic model, Annals of applied probability , 21(6), 2011, pp. 2424-2446
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
21
Issue
6
Year of publication
2011
Pages
2424 - 2446
Database
ACNP
SICI code
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.