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Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 335, 页码: 464-496
Authors:  Xu, Li;  Zhang, Ping
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Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
Authors:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
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Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
Global Controllability of the Navier-Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 卷号: 24, 期号: 3, 页码: 32
Authors:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
Favorite  |  View/Download：36/0  |  Submit date：2023/02/07
Axi-symmetric Navier-Stokes equations  Controllability  No-slip Dirichlet boundary condition  Boundary layers  Return method  Multi-scales asymptotic expansion  Well-prepared dissipation method  Long-time nonlinear Cauchy-Kovalevskaya estimates  

Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models

 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 18
Authors:  Guo, Ling;  Wu, Hao;  Zhou, Tao
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Data -driven modeling  Normalizing flows  Uncertainty quantification  Random fields  
The Iwasawa Main Conjectures for GL(2) and derivatives of p-adic L-functions 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 400, 页码: 45
Authors:  Castella, Francesc;  Wan, Xin
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Iwasawa theory  p-adic families of modular forms  Selmer groups  Euler systems  p-adicL-functions  
On the Dynamics of Entire Maps with Symmetry 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 41
Authors:  Cao, Chun-Lei;  Wang, Yue-Fei
Favorite  |  View/Download：70/0  |  Submit date：2022/04/29
Fatou set  Julia set  Entire map  Symmetry  Wandering domain  
REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 卷号: 150, 期号: 3, 页码: 1223-1234
Authors:  Deng, Wen;  Paicu, Marius;  Zhang, Ping
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Radius of analyticity  Navier-Stokes equations  
Smooth Controllability of the Navier-Stokes Equation with Navier Conditions: Application to Lagrangian Controllability 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 869-941
Authors:  Liao, Jiajiang;  Sueur, Franck;  Zhang, Ping
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Bi-Holder Extensions of Quasi-isometries on Complex Domains 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 卷号: 32, 期号: 2, 页码: 29
Authors:  Liu, Jinsong;  Wang, Hongyu;  Zhou, Qingshan
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Quasi-isometries  Convex domains  Kobayashi metric  Gromov hyperbolicity  
Cubic forms, anomaly cancellation and modularity 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 394, 页码: 46
Authors:  Han, Fei;  Huang, Ruizhi;  Liu, Kefeng;  Zhang, Weiping
Favorite  |  View/Download：32/0  |  Submit date：2023/02/07
Anomaly cancellation  M-theory  Cubic form  Modular form  Twisted Witten class  Spin and spin(c) classes