Enhanced Dissipation for Stochastic Navier-Stokes Equations with Transport Noise

被引：3
|
作者：
Luo, Dejun [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2025年 / 37卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes equations; Enhanced dissipation; Transport noise; Scaling limit; Quantitative estimate; BOUSSINESQ EQUATIONS; WELL-POSEDNESS; ERGODICITY; STABILIZATION; DIFFUSION; FLOWS;
D O I：
10.1007/s10884-023-10307-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier-Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier-Stokes equations in vorticity form; in particular, quantitative estimate allows us to choose the parameters of noise, uniformly in initial vorticity bounded in L-2-norm, so that global solutions exist with a large probability sufficiently close to 1.
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页码：859 / 894
页数：36
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