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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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A Nitsche Hybrid Multiscale Method with Non-matching Grids
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
Authors:
Ming, Pingbing
;
Song, Siqi
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Submit date:2022/04/29
Multiscale PDE
Hybrid method
Nitsche variational formulation
Non-matching grid
Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 179-199
Authors:
Song, Linjie
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Submit date:2022/04/02
Bifurcation
Normalized solutions
Nehari manifold
Pohozaev identity
Nonlinear elliptic equations on the upper half space
期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 01, 页码: 20
Authors:
Tang, Sufang
;
Wang, Lei
;
Zhu, Meijun
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Submit date:2022/04/02
Curvature equation
Kelvin transform
moving plane method
moving sphere method
On desingularization of steady vortex for the lake equations
期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 卷号: 87, 期号: 1, 页码: 50-79
Authors:
Cao, Daomin
;
Zhan, Weicheng
;
Zou, Changjun
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View/Download:22/0
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Submit date:2022/04/02
steady vortex solutions
elliptic equations
variational method
desingularization
maximizer
An inverse averaging finite element method for solving three-dimensional Poisson-Nernst-Planck equations in nanopore system simulations
期刊论文
JOURNAL OF CHEMICAL PHYSICS, 2021, 卷号: 155, 期号: 19, 页码: 13
Authors:
Zhang, Qianru
;
Wang, Qin
;
Zhang, Linbo
;
Lu, Benzhuo
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Submit date:2022/04/02
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications
期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
Authors:
Dai, Wei
;
Qin, Guolin
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Submit date:2022/04/02
Critical order
Henon-Lane-Emden type equations
Liouville theorems
A priori estimates
Qualitative properties of singular solutions to fractional elliptic equations
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 页码: 36
Authors:
Huang, Shuibo
;
Zhang, Zhitao
;
Liu, Zhisu
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Submit date:2022/06/21
Fractional elliptic equations
Moving spheres method
Blow-up analysis
Local behaviour
Singular solutions
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