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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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浏览/检索结果:
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On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
作者:
Coron, Jean-Michel
;
Xiang, Shengquan
;
Zhang, Ping
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  |  
浏览/下载:84/0
  |  
提交时间:2023/02/07
Semiclassical Schr?dinger equation
Quantum density
Quantum momentum
Controllability
Semiclassical limit
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
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  |  
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
Understanding the acceleration phenomenon via high-resolution differential equations
期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:
Shi, Bin
;
Du, Simon S.
;
Jordan, Michael, I
;
Su, Weijie J.
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  |  
浏览/下载:70/0
  |  
提交时间:2023/02/07
Convex optimization
First-order method
Polyak's heavy ball method
Nesterov's accelerated gradient methods
Ordinary differential equation
Lyapunov function
Gradient minimization
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
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  |  
浏览/下载:60/0
  |  
提交时间:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices
期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:
Chang, Xiang-Ke
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  |  
浏览/下载:49/0
  |  
提交时间:2023/02/07
Hermite-Pade approximation
Biorthogonal polynomials
Novikov equation
Multipeakons
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
作者:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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  |  
浏览/下载:101/0
  |  
提交时间:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
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  |  
浏览/下载:121/0
  |  
提交时间:2022/04/02
mCH-Novikov-CH equation
Wave breaking
Local well-posedness
Holder continuity
Non-periodic and periodic peakon and multi-peakon solutions
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:114/0
  |  
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
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations
期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
作者:
Zhang, Shuo
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  |  
浏览/下载:133/0
  |  
提交时间:2021/10/26
biharmonic equation
optimal cubic finite element scheme
general triangulation
discretized Stokes complex
discrete strengthened Miranda-Talenti estimate
DECAY ESTIMATES FOR NONLINEAR SCHRODINGER EQUATIONS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 8, 页码: 3973-3984
作者:
Fan, Chenjie
;
Zhao, Zehua
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  |  
浏览/下载:114/0
  |  
提交时间:2021/10/26
Nonlinear Schrodinger equation
decay estimate