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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:118/0  |  提交时间:2023/02/07
Navier-Stokes equations  Composite wave  Periodic perturbation  
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:88/0  |  提交时间:2023/02/07
Inhomogeneous Navier-Stokes  equations  Long time behavior  Attractor  
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
作者:  Song, Jin;  Yan, Zhenya
收藏  |  浏览/下载:65/0  |  提交时间:2023/02/07
Amended Gross-Pitaevskii equations  PT -symmetric potential  Quantum droplets  Stable solitons  Soliton interactions and excitations  
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  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
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:64/0  |  提交时间:2023/02/07
normalized solutions  p-Laplacian equations  critical point  ground state  Pohozaev identity  
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  
Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes 期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
作者:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载:72/0  |  提交时间:2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
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:57/0  |  提交时间:2023/02/07
Anisotropic Navier-Stokes equations  Littlewood-Paley theory  Large time behavior  
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:66/0  |  提交时间:2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method