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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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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation
期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 卷号: 228, 页码: 21
Authors:
Cao, Daomin
;
Qin, Guolin
;
Zou, Changjun
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View/Download:55/0
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Submit date:2023/02/07
The Euler equation
Vortex sheets
Birkhoff-Rott operator
Implicit function theorem
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain
期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
Authors:
Cao, Daomin
;
Yu, Weilin
;
Zou, Changjun
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View/Download:27/0
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Submit date:2023/02/07
The steady Euler equation
Kirchhoff-Routh function
Local uniqueness
Nonlinear stability
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
Authors:
Cao, Daomin
;
Feng, Binhua
;
Luo, Tingjian
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Submit date:2023/02/07
XFEL Schr?dinger equation
nonlinear elliptic equations
normalized solutions
orbital stability
strong instability
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:24/0
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Submit date:2023/02/07
incompressible Euler equations
vortex ring
variational method
dcsingularization
Vortex patch problem for steady lake equation
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
Authors:
Cao, Daomin
;
Qin, Guolin
;
Zou, Changjun
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Submit date:2023/02/07
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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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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Submit date:2023/02/07
steady vortex patch
desingularization
Kirchhoff--Routh function
Robin function
variational method
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 299, 页码: 429-462
Authors:
Cao, Daomin
;
Qin, Guolin
;
Zhan, Weicheng
;
Zou, Changjun
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Submit date:2021/10/26
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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Submit date:2022/04/02
35J60
35Q31
76B47
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid
期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 3, 页码: 16
Authors:
Cao, Daomin
;
Wang, Guodong
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View/Download:114/0
  |  
Submit date:2021/10/26
Euler equations
vortex patch
nonlinear stability
Kirchhoff-Routh function