ANOMALOUS DISSIPATION IN A STOCHASTIC INVISCID DYADIC MODEL

• 成果类型: Article
• 署名作者: Barbato, David; Flandoli, Franco; Morandin, Francesco
• 署名单位: University of Padua; University of Pisa; University of Parma
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/11-AAP768
• 发表日期: 2011
• 页码: 2424-2446
• 关键词: finite-time; blow-up; energy; uniqueness

摘要

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.