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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 superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
Authors:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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View/Download:111/0
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Submit date:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
Error estimate on the tanh meshes for the time fractional diffusion equation
期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 21
Authors:
Zhang, Jiali
;
Huang, Jizu
;
Wang, Kun
;
Wang, Xin
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View/Download:115/0
  |  
Submit date:2021/01/14
Caputo fractional derivative
error estimate
the tanh meshes
unconditionally stable
weak singularity
Dyadic bilinear estimates and applications to the well-posedness for the 2D Zakharov-Kuznetsov equation in the endpoint space H-1/4
期刊论文
FORUM MATHEMATICUM, 2020, 卷号: 32, 期号: 6, 页码: 1575-1598
Authors:
Huo, Zhaohui
;
Jia, Yueling
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View/Download:97/0
  |  
Submit date:2021/01/14
Well-posedness
Zakharov-Kuznetsov equation
dyadic X-s,X-b
dyadic bilinear estimates
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
Authors:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
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View/Download:121/0
  |  
Submit date:2020/06/30
Time-fractional Allen-Cahn equation
Alikhanov formula
Adaptive time-stepping strategy
Discrete maximum principle
Sharp error estimate
Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry
期刊论文
NONLINEARITY, 2019, 卷号: 32, 期号: 11, 页码: 4505-4523
Authors:
Huang, Feimin
;
Li, Tianhong
;
Yuan, Difan
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View/Download:144/0
  |  
Submit date:2020/05/24
isentropic gas
compensated compactness
uniform estimate
Global Structure and Regularity of Solutions to the Eikonal Equation
期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 232, 期号: 2, 页码: 1073-1112
Authors:
Li, Tian-Hong
;
Wang, JingHua
;
Wen, HaiRui
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View/Download:108/0
  |  
Submit date:2020/01/10
数学家将会最终给出Navier-Stokes方程的解吗?
期刊论文
科学通报, 2018, 卷号: 63.0, 期号: 012, 页码: 1082-1087
Authors:
张平
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View/Download:97/0
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Submit date:2021/01/14
Navier-Stokes方程
正则性
奇性解
适定性
REGULARITY AND GLOBAL STRUCTURE OF SOLUTIONS TO HAMILTON-JACOBI EQUATIONS II. CONVEX INITIAL DATA
期刊论文
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2009, 卷号: 6, 期号: 4, 页码: 709-723
Authors:
Zhao, Yinchuan
;
Tang, Tao
;
Wang, Jinghua
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View/Download:79/0
  |  
Submit date:2018/07/30
Hamilton-Jacobi equations
Hopf's formula (II)
global structure
singularity point
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonians
期刊论文
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2008, 卷号: 5, 期号: 3, 页码: 663-680
Authors:
Zhao, Yinchuan
;
Tang, Tao
;
Wang, Jinghua
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View/Download:73/0
  |  
Submit date:2018/07/30
Hamilton-Jacobi equations
Hopf's formula (I)
global structure
singularity point
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible euler equations
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2006, 卷号: 16, 期号: 6, 页码: 639-664
Authors:
Hou, Thomas Y.
;
Li, Ruo
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View/Download:78/0
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Submit date:2018/07/30