High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations

被引：0
|
作者：
Franco Flandoli
Dejun Luo
机构：
[1] Scuola Normale Superiore of Pisa,Key Laboratory of RCSDS, Academy of Mathematics and Systems Science
[2] Chinese Academy of Sciences,School of Mathematical Sciences
[3] University of the Chinese Academy of Sciences,undefined
来源：
Probability Theory and Related Fields | 2021年 / 180卷
关键词：
3D Navier–Stokes equations; Well posedness; Regularization by noise; Transport noise; Vorticity blow-up control; Primary 60H15; Secondary 76D05;
D O I：
暂无
中图分类号：
学科分类号：
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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页码：309 / 363
页数：54
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