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GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD 期刊论文
ANNALS OF APPLIED PROBABILITY, 2022, 卷号: 32, 期号: 4, 页码: 2568-2586
作者:  Flandoli, Franco;  Hofmanova, Martina;  Luo, Dejun;  Nilssen, Torstein
收藏  |  浏览/下载:97/0  |  提交时间:2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 2, 页码: 21
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载:171/0  |  提交时间:2021/01/14
Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations 期刊论文
JOURNAL OF EVOLUTION EQUATIONS, 2020, 页码: 34
作者:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
收藏  |  浏览/下载:172/0  |  提交时间:2020/09/23
2D Euler equations  Vorticity  Transport noise  Scaling limit  2D Navier-Stokes equations  
Regularization by Noise for the Point Vortex Model of mSQG Equations 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 页码: 15
作者:  Luo, De Jun;  Saal, Martin
收藏  |  浏览/下载:168/0  |  提交时间:2020/05/24
Point vortices  modified Surface Quasi-Geostrophic equations  space-dependent noise  absolute continuity