Anomalous dissipation in a stochastic inviscid dyadic model
classification
🧮 math.PR
math.AP
keywords
dissipationdyadicenergyinviscidmodelstochasticanomalousbahavior
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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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