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DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 10, 页码: 21
Authors:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
Favorite  |  View/Download:81/0  |  Submit date:2023/02/07
Large N Limit of the O(N) Linear Sigma Model in 3D 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 57
Authors:  Shen, Hao;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:135/0  |  Submit date:2023/02/07
Singular HJB equations with applications to KPZ on the real line 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2022, 页码: 81
Authors:  Zhang, Xicheng;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:44/0  |  Submit date:2023/02/07
Singular SPDEs  HJB equations  KPZ equations  Paracontrolled distributions  Global well-posedness  Zvonkin's transformation  
LARGE N LIMIT OF THE O(N) LINEAR SIGMA MODEL VIA STOCHASTIC QUANTIZATION 期刊论文
ANNALS OF PROBABILITY, 2022, 卷号: 50, 期号: 1, 页码: 131-202
Authors:  Shen, Hao;  Smith, Scott A.;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:177/0  |  Submit date:2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 36
Authors:  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:135/0  |  Submit date:2022/04/02
Phi(4)(3) model  Paracontrolled distributions  Weak universality  Space-time white noise  Renormalisation  
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
Authors:  Luo, Dejun;  Zhu, Rongchan
Favorite  |  View/Download:131/0  |  Submit date:2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
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
Authors:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:137/0  |  Submit date:2022/04/02
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
Authors:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
Favorite  |  View/Download:140/0  |  Submit date:2021/04/26
STOCHASTIC HEAT EQUATIONS FOR INFINITE STRINGS WITH VALUES IN A MANIFOLD 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 1, 页码: 407-452
Authors:  Chen, Xin;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:175/0  |  Submit date:2021/04/26
Stochastic heat equation  Ricci Curvature  functional inequality  quasi-regular Dirichlet form  infinite volume  
Piecewise linear approximation for the dynamical Phi(4)(3) model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
Authors:  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:163/0  |  Submit date:2020/05/24
regularity structure  space-time white noise  stochastic partial differential equations  renormalization