Anomalous dissipation in a stochastic inviscid dyadic model

Details Anomalous dissipation in a stochastic inviscid dyadic model Anomalous dissipation in a stochastic inviscid dyadic model

2010-07-06

arxiv.org/abs/1007.1004v3

Annals of Applied Probability 2011, Vol. 21, No. 6, 2424-2446

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/11-AAP768 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/11-AAP768

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.

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