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Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
作者:  Luo, Dejun
收藏  |  浏览/下载：91/0  |  提交时间：2023/02/07
magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
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：135/0  |  提交时间：2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system 期刊论文
Nonlinearity, 2021, 卷号: 34, 期号: 12
作者:  Luo,Dejun
收藏  |  浏览/下载：132/0  |  提交时间：2022/04/02
2D Boussinesq system  vorticity formulation  transport noise  weak convergence  60H15  35Q35  
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2021, 页码: 55
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：194/0  |  提交时间：2021/04/26
3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control  
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：205/0  |  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：211/0  |  提交时间：2020/09/23
2D Euler equations  Vorticity  Transport noise  Scaling limit  2D Navier-Stokes equations  
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：183/0  |  提交时间：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability  
A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 8, 页码: 4021-4030
作者:  Roeckner, Michael;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：225/0  |  提交时间：2020/01/10
Stochastic vorticity equations  controlled rough path  small initial data  
EULER-LAGRANGIAN APPROACH TO 3D STOCHASTIC EULER EQUATIONS 期刊论文
JOURNAL OF GEOMETRIC MECHANICS, 2019, 卷号: 11, 期号: 2, 页码: 153-165
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：200/0  |  提交时间：2020/01/10
Stochastic Euler equations  Euler-Lagrangian formulation  local existence  Holder space  vorticity  
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 346, 页码: 946-1008
作者:  Chen, Gui-Qiang G.;  Huang, Fei-Min;  Wang, Tian-Yi;  Xiang, Wei
收藏  |  浏览/下载：183/0  |  提交时间：2019/12/13
Steady Euler flows  Large vorticity  Characteristic discontinuities  Free boundary  Existence  Uniqueness