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Dynamics of nonlinear hyperbolic equations of Kirchhoff type 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 3, 页码: 43
作者:  Chen, Jianyi;  Sun, Yimin;  Xiu, Zonghu;  Zhang, Zhitao
收藏  |  浏览/下载：103/0  |  提交时间：2022/06/21
Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 页码: 40
作者:  Fan, Xinyu;  Li, Jiaxu;  Li, Jing
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：116/0  |  提交时间：2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：125/0  |  提交时间：2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2811-2838
作者:  Wang, T. E. N. G.;  Wang, Y., I
收藏  |  浏览/下载：124/0  |  提交时间：2021/10/26
Compressible Navier-Stokes equations  planar rarefaction wave  sta- bility  Navier boundary conditions  
Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations 期刊论文
ADVANCES IN NONLINEAR ANALYSIS, 2021, 卷号: 10, 期号: 1, 页码: 1356-1383
作者:  Wang, Yong;  Wu, Wenpei
收藏  |  浏览/下载：108/0  |  提交时间：2021/10/26
Elastic Navier-Stokes-Poisson equations  Initial-boundary value problems  Global solution  Exponential decay  
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation  
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：145/0  |  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  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
作者:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
收藏  |  浏览/下载：131/0  |  提交时间：2021/10/26
conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior  
Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
作者:  Huang, Feimin;  Hong, Hakho;  Shi, Xiaoding
收藏  |  浏览/下载：172/0  |  提交时间：2020/05/24
compressible Navier-Stokes-Korteweg system  existence  uniqueness  Van der Waals gas