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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：108/0  |  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：147/0  |  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：153/0  |  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：152/0  |  提交时间：2018/07/30
Critical percolation  First-passage percolation  Scaling limit  Conformal loop ensemble  Law of large numbers  Central limit theorem  
Quasi-neutral limit of the drift-diffusion model for semiconductors with general sign-changing doping profile 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 9, 页码: 1619-1630
作者:  Hsiao Ling;  Ju QiangChang;  Wang Shu
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
quasi-neutral limit  drift-diffusion equations  multiple scaling asymptotic expansions  
Quasineutral limit of a time-dependent drift-diffusion-Poisson model for p-n junction semiconductor devices 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 225, 期号: 2, 页码: 411-439
作者:  Hsiao, L;  Wang, S
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
quasineutral limit  time-dependent drift-diffusion equations  p-n junction  multiple scaling asymptotic expansions  gimel-weighted Liapunov-type functional