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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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:104/0
  |  
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
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  |  
浏览/下载:95/0
  |  
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
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  |  
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
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  |  
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
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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
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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
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  |  
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
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  |  
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
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  |  
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
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  |  
浏览/下载:172/0
  |  
提交时间:2020/05/24
compressible Navier-Stokes-Korteweg system
existence
uniqueness
Van der Waals gas