Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise

被引：4

作者：

Flandoli, Franco ^{[1
]}

Luo, Dejun ^{[2
,3
]}

机构：

[1] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy

[2] Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China

[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 493卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Point vortices; Navier-Stokes equations; Space-time white noise; Vorticity formulation; Weak convergence; EULER EQUATIONS; CONVERGENCE; UNIQUENESS;

D O I：

10.1016/j.jmaa.2020.124560

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the system of point vortices, perturbed by a certain transport type noise, converges weakly to the vorticity form of 2D Navier-Stokes equations driven by the space-time white noise. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：21

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