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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
作者:  Liu, Lingjun;  Wang, Danli;  Xu, Lingda
收藏  |  浏览/下载：117/0  |  提交时间：2023/02/07
Navier-Stokes equations  Composite wave  Periodic perturbation  
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：79/0  |  提交时间：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
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：55/0  |  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：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  
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
作者:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
收藏  |  浏览/下载：76/0  |  提交时间：2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
作者:  Zhang, Wensheng;  Joardar, Atish Kumar
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
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  
L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2505-2522
作者:  Geng, Shifeng;  Huang, Feimin;  Wu, Xiaochun
收藏  |  浏览/下载：56/0  |  提交时间：2023/02/07
L-2-convergence  compressible Euler Equations  time asymptotic expansion  time-dependent damping  relative entropy inequality  
Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
作者:  Ren, Han-Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
作者:  Li, Zaizheng;  Zhang, Qidi;  Zhang, Zhitao
收藏  |  浏览/下载：60/0  |  提交时间：2023/02/07
Fractional Schrodinger equations  standing wave  orbital stability  least action solution