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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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Cao Daomin [7]
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Li Ziming [1]
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Asymptotic behaviour of global vortex rings
期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 7, 页码: 3680-3705
Authors:
Cao, Daomin
;
Wan, Jie
;
Wang, Guodong
;
Zhan, Weicheng
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View/Download:19/0
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Submit date:2023/02/07
incompressible Euler equations
vortex ring
variational method
dcsingularization
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:83/0
  |  
Submit date:2022/04/02
steady vortex solutions
elliptic equations
variational method
desingularization
maximizer
MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 2, 页码: 1488-1514
Authors:
Cao, Daomin
;
Wan, Jie
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View/Download:14/0
  |  
Submit date:2023/02/07
steady vortex patch
desingularization
Kirchhoff--Routh function
Robin function
variational method
Traveling vortex pairs for 2D incompressible Euler equations
期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 5, 页码: 16
Authors:
Cao, Daomin
;
Lai, Shanfa
;
Zhan, Weicheng
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View/Download:82/0
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Submit date:2022/04/02
35J60
35Q31
76B47
Desingularization of vortex rings in 3 dimensional Euler flows
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 270, 页码: 1258-1297
Authors:
Cao, Daomin
;
Wan, Jie
;
Zhan, Weicheng
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View/Download:157/0
  |  
Submit date:2021/01/14
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
Authors:
Cao, Daomin
;
Wang, Guodong
;
Zhan, Weicheng
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View/Download:112/0
  |  
Submit date:2021/04/26
desingularization of vortices
2D Euler flow
vorticity method
nonlinear stability
Apparent singularities of D-finite systems
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 95, 页码: 217-237
Authors:
Chen, Shaoshi
;
Kauers, Manuel
;
Li, Ziming
;
Zhang, Yi
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View/Download:120/0
  |  
Submit date:2020/01/10
D-finite system
Grobner basis
Ordinary point
Formal power series
Apparent singularity
Desingularization
Steady vortex patch solutions to the vortex-wave system
期刊论文
NONLINEARITY, 2019, 卷号: 32, 期号: 5, 页码: 1882-1904
Authors:
Cao, Daomin
;
Wang, Guodong
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View/Download:159/0
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Submit date:2020/01/10
vortex-wave system
vortex patch
Euler equation
Kirchhoff-Routh function
maximization
desingularization
Desingularization of Ore operators
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2016, 卷号: 74, 页码: 617-626
Authors:
Chen, Shaoshi
;
Kauers, Manuel
;
Singer, Michael F.
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View/Download:107/0
  |  
Submit date:2018/07/30
D-finite functions
Apparent singularities
Computer algebra
Ore operators