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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载:67/0  |  提交时间:2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
Bubble towers in the ancient solution of energy-critical heat equation 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 6, 页码: 47
作者:  Sun, Liming;  Wei, Jun-cheng;  Zhang, Qidi
收藏  |  浏览/下载:56/0  |  提交时间:2023/02/07
On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
作者:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
收藏  |  浏览/下载:57/0  |  提交时间:2023/02/07
Discounted Hamilton-Jacobi equation  Viscosity solution  Conjugated weak KAM solutions  Aubry Mather sets  Mane's genericity  
Endpoint Sobolev Theory for the Muskat Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 60
作者:  Alazard, Thomas;  Quoc-Hung Nguyen
收藏  |  浏览/下载:49/0  |  提交时间:2023/02/07
Normalized solutions to p-Laplacian equations with combined nonlinearities 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 11, 页码: 5621-5663
作者:  Zhang, Zexin;  Zhang, Zhitao
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
normalized solutions  p-Laplacian equations  critical point  ground state  Pohozaev identity  
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载:67/0  |  提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
Signed Social Networks With Biased Assimilation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 10, 页码: 5134-5149
作者:  Wang, Lingfei;  Hong, Yiguang;  Shi, Guodong;  Altafini, Claudio
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Social networking (online)  Bifurcation  Analytical models  Network topology  Stability analysis  Hypercubes  Topology  Biased assimilation  opinion dynamics  signed social networks  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载:60/0  |  提交时间:2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation 期刊论文
APPLIED SCIENCES-BASEL, 2022, 卷号: 12, 期号: 17, 页码: 12
作者:  Qu, Li;  Liao, Junli;  Gao, Kaiye;  Yang, Li
收藏  |  浏览/下载:48/0  |  提交时间:2023/02/07
lot sizing  preventive maintenance  degradation modeling  joint optimization  
Accurate and Efficient Estimation of Lennard-Jones Interactions for Coarse-Grained Particles via a Potential Matching Method 期刊论文
JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2022, 卷号: 18, 期号: 8, 页码: 4879-4890
作者:  Zhang, Yuwei;  Wang, Yunchu;  Xia, Fei;  Cao, Zexing;  Xu, Xin
收藏  |  浏览/下载:59/0  |  提交时间:2023/02/07