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Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
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
作者:  Deng, Wen;  Paicu, Marius;  Zhang, Ping
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/29
Radius of analyticity  Navier-Stokes equations  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载：140/0  |  提交时间：2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
The Rotation Number for Almost Periodic Schrodinger Operators with delta-Potentials 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2021, 页码: 23
作者:  Damanik, David;  Zhou, Zhe
收藏  |  浏览/下载：58/0  |  提交时间：2021/10/26
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
作者:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
收藏  |  浏览/下载：156/0  |  提交时间：2021/04/26
Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
作者:  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Logarithmic nonlinear Schrodinger equation  PT-symmetric potentials  Physics-informed neural networks  Deep learning  Data-driven discovery of LNLS equation  Data-driven solitons  
Convergence rates in almost-periodic homogenization of higher-order elliptic systems 期刊论文
ASYMPTOTIC ANALYSIS, 2021, 卷号: 123, 期号: 1-2, 页码: 95-137
作者:  Xu, Yao;  Niu, Weisheng
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
Almost periodic homogenization  higher-order elliptic systems  quantitative estimates  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
收藏  |  浏览/下载：149/0  |  提交时间：2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
Quantitative estimates in reiterated homogenization 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 11, 页码: 39
作者:  Niu, Weisheng;  Shen, Zhongwei;  Xu, Yao
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Reiterated homogenization  Convergence rates  Large-scale regularity estimates  
Towards mesoscopic ergodic theory 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:  Qi, Weiwei;  Shen, Zhongwei;  Wang, Shirou;  Yi, Yingfei
收藏  |  浏览/下载：112/0  |  提交时间：2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit