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.
Citation
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
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