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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:493

Article

Flandoli, Franco¹  Luo, Dejun^2,3 

[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

关键词: Point vortices;    Navier-Stokes equations;    Space-time white noise;    Vorticity formulation;    Weak convergence;   

DOI  :  10.1016/j.jmaa.2020.124560

来源: Elsevier

【 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.

【 授权许可】

Free