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.

引用

页码：2424 / 2446

页数：23

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