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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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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
Authors:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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Submit date:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions
REMARKS ON THE DECAY OF FOURIER COEFFICIENTS TO SOLUTIONS OF NAVIER-STOKES SYSTEM
期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 卷号: 150, 期号: 3, 页码: 1223-1234
Authors:
Deng, Wen
;
Paicu, Marius
;
Zhang, Ping
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View/Download:5/0
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Submit date:2022/04/29
Radius of analyticity
Navier-Stokes equations
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
Authors:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:7/0
  |  
Submit date: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
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:7/0
  |  
Submit date: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
Local weak solution of the isentropic compressible Navier-Stokes equations
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2021, 卷号: 62, 期号: 11, 页码: 8
Authors:
Huang, Xiangdi
;
Yan, Wei
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Submit date:2022/04/02
Stability of Large-Amplitude Viscous Shock Under Periodic Perturbation for 1-d Isentropic Navier-Stokes Equations
期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 页码: 25
Authors:
Huang, Feimin
;
Yuan, Qian
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Submit date:2022/04/02
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
Authors:
Zhang, Yiping
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Submit date:2021/10/26
Homogenization
Periodic coefficients
Rapidly oscillating potentials
Convergence rates
Eigenvalues and eigenfunctions
Periodic Solutions to Klein-Gordon Systems with Linear Couplings
期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
Authors:
Chen, Jianyi
;
Zhang, Zhitao
;
Chang, Guijuan
;
Zhao, Jing
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Submit date:2021/10/26
Wave Equation
Variational Method
Klein-Gordon System
Periodic Solutions
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
Authors:
Wang, Li
;
Yan, Zhenya
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  |  
Submit date: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
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales
期刊论文
MATHEMATICS AND MECHANICS OF SOLIDS, 2021, 卷号: 26, 期号: 6, 页码: 905-936
Authors:
Dong, Hao
;
Cui, Junzhi
;
Nie, Yufeng
;
Jin, Ke
;
Guan, Xiaofei
;
Yang, Zihao
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Submit date:2021/10/26
Multiscale asymptotic analysis
mechanical behaviors
axisymmetric composite structures
micro-meso-macro coupled model
HOTS numerical algorithm