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December 2011 Anomalous dissipation in a stochastic inviscid dyadic model
David Barbato, Franco Flandoli, Francesco Morandin
Ann. Appl. Probab. 21(6): 2424-2446 (December 2011). DOI: 10.1214/11-AAP768

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.

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David Barbato. Franco Flandoli. Francesco Morandin. "Anomalous dissipation in a stochastic inviscid dyadic model." Ann. Appl. Probab. 21 (6) 2424 - 2446, December 2011. https://doi.org/10.1214/11-AAP768

Information

Published: December 2011
First available in Project Euclid: 23 November 2011

zbMATH: 1259.60064
MathSciNet: MR2895420
Digital Object Identifier: 10.1214/11-AAP768

Subjects:
Primary: 60H15
Secondary: 35B65, 60J28, 76B03

Rights: Copyright © 2011 Institute of Mathematical Statistics

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Vol.21 • No. 6 • December 2011
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