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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:54/0  |  提交时间:2023/02/07
magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
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:95/0  |  提交时间:2022/04/02
2D Boussinesq system  vorticity formulation  transport noise  weak convergence  60H15  35Q35  
Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 140, 页码: 236-286
作者:  Luo, Dejun;  Zhu, Rongchan
收藏  |  浏览/下载:107/0  |  提交时间:2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
作者:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
收藏  |  浏览/下载:146/0  |  提交时间:2021/06/01
Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
A scaling limit for the stochastic mSQG equations with multiplicative transport noises 期刊论文
STOCHASTICS AND DYNAMICS, 2020, 卷号: 20, 期号: 6, 页码: 21
作者:  Luo, Dejun;  Saal, Martin
收藏  |  浏览/下载:143/0  |  提交时间:2021/01/14
Modified Surface Quasi-Geostrophic equation  transport noise  scaling limit  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:168/0  |  提交时间:2020/09/23
2D Euler equations  Vorticity  Transport noise  Scaling limit  2D Navier-Stokes equations  
Asymptotics for 2D critical and near-critical first-passage percolation 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2019, 卷号: 175, 期号: 3-4, 页码: 975-1019
作者:  Yao, Chang-Long
收藏  |  浏览/下载:151/0  |  提交时间:2020/05/24
Percolation  First passage percolation  Correlation length  Scaling limit  Conformal loop ensemble  
Multi-arm incipient infinite clusters in 2D: Scaling limits and winding numbers 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2018, 卷号: 54, 期号: 4, 页码: 1848-1876
作者:  Yao, Chang-Long
收藏  |  浏览/下载:171/0  |  提交时间:2018/11/16
Percolation  Scaling limit  SLE  CLE  Incipient infinite cluster  Winding number  
Limit theorems for critical first-passage percolation on the triangular lattice 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2018, 卷号: 128, 期号: 2, 页码: 445-460
作者:  Yao, Chang-Long
收藏  |  浏览/下载:151/0  |  提交时间:2018/07/30
Critical percolation  First-passage percolation  Scaling limit  Conformal loop ensemble  Law of large numbers  Central limit theorem  
JUSTIFICATION OF LIMIT FOR THE BOLTZMANN EQUATION RELATED TO KORTEWEG THEORY 期刊论文
QUARTERLY OF APPLIED MATHEMATICS, 2016, 卷号: 74, 期号: 4, 页码: 719-764
作者:  Huang, Feimin;  Wang, Yi;  Wang, Yong;  Yang, Tong
收藏  |  浏览/下载:174/0  |  提交时间:2018/07/30
Boltzmann equation  Knudsen number  diffusive scaling  diffusion wave