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arXiv · 1007.1004

Anomalous dissipation in a stochastic inviscid dyadic model

David Barbato·Franco Flandoli·Francesco Morandin
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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. 2010-07-06. Anomalous dissipation in a stochastic inviscid dyadic model. https://doi.org/10.1214/11-aap768

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