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Dissipation enhancement by transport noise for stochastic p-Laplace equations 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 1, 页码: 24
Authors:  Dong, Zhao;  Luo, Dejun;  Tang, Bin
Favorite  |  View/Download:89/0  |  Submit date:2023/02/07
p-Laplace operator  Transport noise  Dissipation enhancement  Semigroup approach  
Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
Favorite  |  View/Download:70/0  |  Submit date:2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
Authors:  Luo, Dejun
Favorite  |  View/Download:54/0  |  Submit date: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
Authors:  Flandoli, Franco;  Hofmanova, Martina;  Luo, Dejun;  Nilssen, Torstein
Favorite  |  View/Download:86/0  |  Submit date:2023/02/07
3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
Favorite  |  View/Download:123/0  |  Submit date:2021/10/26
Girsanov transform  Kolmogorov equation  Iteration scheme  Series expansion  Well posedness  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
Authors:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
Favorite  |  View/Download:146/0  |  Submit date:2021/06/01
Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
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
Authors:  Flandoli, Franco;  Luo, Dejun
Favorite  |  View/Download:168/0  |  Submit date:2021/01/14
Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
Authors:  Dong, Zhao;  Zhang, Rangrang
Favorite  |  View/Download:180/0  |  Submit date:2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
A criterion on a repeller being a null set of any limit measure for stochastic differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
Authors:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
Favorite  |  View/Download:164/0  |  Submit date:2020/05/24
stationary measure  limit measure  support  Lyapunov function  repelling limit cycle  repelling quasi-periodic orbits