ANOMALOUS DISSIPATION IN A STOCHASTIC INVISCID DYADIC MODEL

被引：16
|
作者：
Barbato, David [1 ]
Flandoli, Franco [2 ]
Morandin, Francesco [3 ]
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Appl, I-35121 Padua, Italy
[2] Univ Pisa, Dipartimento Matemat Appl, I-56127 Pisa, Italy
[3] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy
来源：
ANNALS OF APPLIED PROBABILITY | 2011年 / 21卷 / 06期
关键词：
SPDE; shell models; dyadic model; fluid dynamics; anomalous dissipation; blow-up; Girsanov's transform; multiplicative noise; FINITE-TIME; BLOW-UP; ENERGY; UNIQUENESS;
D O I：
10.1214/11-AAP768
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
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.
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页码：2424 / 2446
页数：23
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