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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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Bubble towers in the ancient solution of energy-critical heat equation
期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 6, 页码: 47
作者:
Sun, Liming
;
Wei, Jun-cheng
;
Zhang, Qidi
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浏览/下载:56/0
  |  
提交时间:2023/02/07
On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
作者:
Wang, Ya-Nan
;
Yan, Jun
;
Zhang, Jianlu
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浏览/下载:57/0
  |  
提交时间:2023/02/07
Discounted Hamilton-Jacobi equation
Viscosity solution
Conjugated weak KAM solutions
Aubry Mather sets
Mane's genericity
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
Boundary Stability Criterion for a Nonlinear Axially Moving Beam
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 11, 页码: 5714-5729
作者:
Cheng, Yi
;
Wu, Yuhu
;
Guo, Bao-Zhu
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浏览/下载:83/0
  |  
提交时间:2023/02/07
Mathematical models
Stability criteria
Structural beams
Vibrations
Strain
Numerical stability
Feedback control
Absolute stabilization
axially moving beam
boundary control
exponential stability
Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:
Guo, Ling
;
Wu, Hao
;
Yu, Xiaochen
;
Zhou, Tao
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浏览/下载:49/0
  |  
提交时间:2023/02/07
Physics -informed neural networks
Fractional Laplacian
Nonlocal operators
Uncertainty quantification
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:
Cao, Daomin
;
Feng, Binhua
;
Luo, Tingjian
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浏览/下载:60/0
  |  
提交时间:2023/02/07
XFEL Schr?dinger equation
nonlinear elliptic equations
normalized solutions
orbital stability
strong instability
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:71/0
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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
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
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浏览/下载:58/0
  |  
提交时间:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
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  |  
浏览/下载:58/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Contact-PIC numerical methods for simulating Vlasov-Poisson-Fokker-Planck problem
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 459, 页码: 24
作者:
Shi, Yanyan
;
Sun, Yajuan
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浏览/下载:77/0
  |  
提交时间:2023/02/07
Vlasov-Poisson-Fokker-Planck system
Particle-in-cell technique
Contact method