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Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
作者:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
收藏  |  浏览/下载：107/0  |  提交时间：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
Attractors for the inhomogeneous incompressible Navier-Stokes flows 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 卷号: 69, 页码: 20
作者:  Han, Pigong;  Lei, Keke;  Liu, Chenggang;  Wang, Xuewen
收藏  |  浏览/下载：116/0  |  提交时间：2023/02/07
Inhomogeneous Navier-Stokes  equations  Long time behavior  Attractor  
Design of boundary pulse width modulation controller for a class of heat equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 437, 页码: 16
作者:  Zong, Xiju;  Zhang, Ji-Feng;  Zheng, Jiangtao;  Liu, Zengxin;  Ma, Guoyao
收藏  |  浏览/下载：82/0  |  提交时间：2023/02/07
Heat equation  Boundary PWM control  Multi-agent systems  Synchronization control  
Concentration phenomenon of semiclassical states to reaction-diffusion systems 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 页码: 39
作者:  Gou, Tianxiang;  Zhang, Zhitao
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Concentration phenomenon  Semiclassical states  Reaction-diffusion system  Variational methods  
Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
作者:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：68/0  |  提交时间：2023/02/07
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：77/0  |  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  
Linear quadratic mean field social control with common noise: A directly decoupling method? 期刊论文
AUTOMATICA, 2022, 卷号: 146, 页码: 14
作者:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载：83/0  |  提交时间：2023/02/07
Mean field game  Optimal social cost  Stabilization  Finite agents  Common noise  FBSDE  
Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
作者:  Luo, Dejun
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
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
作者:  Xu, Li;  Zhang, Ping
收藏  |  浏览/下载：70/0  |  提交时间：2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method