High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations
成果类型：
Article
署名作者：
Flandoli, Franco; Luo, Dejun
署名单位：
Scuola Normale Superiore di Pisa; Chinese Academy of Sciences; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-021-01037-5
发表日期：
2021
页码：
309-363
关键词：
摘要：
The paper is concerned with the problem of regularization by noise of 3D Navier-Stokes equations. As opposed to several attempts made with additive noise which remained inconclusive, we show here that a suitable multiplicative noise of transport type has a regularizing effect. It is proven that stochastic transport noise provides a bound on vorticity which gives well posedness, with high probability. The result holds for sufficiently large noise intensity and sufficiently high spectrum of the noise.
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