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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
Authors:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
Favorite  |  View/Download：14/0  |  Submit date：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
Authors:  Luo, De Jun;  Saal, Martin
Favorite  |  View/Download：12/0  |  Submit date：2020/05/24
Point vortices  modified Surface Quasi-Geostrophic equations  space-dependent noise  absolute continuity  
Energy conditional measures and 2D turbulence 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 1, 页码: 22
Authors:  Flandoli, Franco;  Luo, Dejun
Favorite  |  View/Download：14/0  |  Submit date：2020/05/24
rho-White noise solution to 2D stochastic Euler equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2019, 卷号: 175, 期号: 3-4, 页码: 783-832
Authors:  Flandoli, Franco;  Luo, Dejun
Favorite  |  View/Download：16/0  |  Submit date：2020/05/24
White noise  2D Euler equations  Multiplicative noise  Fokker-Planck equation  Gradient estimates  
Refined basic couplings and Wasserstein-type distances for SDEs with Levy noises 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 9, 页码: 3129-3173
Authors:  Luo, Dejun;  Wang, Jian
Favorite  |  View/Download：26/0  |  Submit date：2020/01/10
Refined basic coupling  Levy jump process  Wasserstein-type distance  Strong ergodicity  
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
Authors:  Flandoli, Franco;  Luo, Dejun
Favorite  |  View/Download：24/0  |  Submit date：2020/01/10
Stochastic Euler equations  Euler-Lagrangian formulation  local existence  Holder space  vorticity  
Quantitative stability estimates for Fokker-Planck equations 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 122, 页码: 125-163
Authors:  Li, Huaiqian;  Luo, Dejun
Favorite  |  View/Download：29/0  |  Submit date：2019/03/11
Fokker-Planck equation  Stability estimate  Kantorovich-Rubinstein distance  Superposition principle  
COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 371, 期号: 1, 页码: 431-459
Authors:  Luo, Dejun;  Wang, Jian
Favorite  |  View/Download：29/0  |  Submit date：2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds 期刊论文
POTENTIAL ANALYSIS, 2018, 卷号: 48, 期号: 2, 页码: 181-206
Authors:  Fang, Shizan;  Luo, Dejun
Favorite  |  View/Download：28/0  |  Submit date：2018/07/30
Navier-Stokes equations  Stochastic representation  de Rham-Hodge Laplacian  Stochastic flow  Pull-back vector field  
The Ito SDEs and Fokker-Planck equations with Osgood and Sobolev coefficients 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 3, 页码: 379-410
Authors:  Luo, Dejun
Favorite  |  View/Download：27/0  |  Submit date：2018/07/30
Stochastic differential equation  Osgood and Sobolev condition  DiPerna-Lions theory  Fokker-Planck equation  stochastic flow