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.
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页数：21
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