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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：57/0  |  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：94/0  |  提交时间：2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Singular HJB equations with applications to KPZ on the real line 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2022, 页码: 81
作者:  Zhang, Xicheng;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：35/0  |  提交时间：2023/02/07
Singular SPDEs  HJB equations  KPZ equations  Paracontrolled distributions  Global well-posedness  Zvonkin's transformation  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：126/0  |  提交时间：2021/10/26
Girsanov transform  Kolmogorov equation  Iteration scheme  Series expansion  Well posedness  
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：157/0  |  提交时间：2021/04/26
3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control