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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
Favorite  |  View/Download:10/0  |  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
Favorite  |  View/Download:4/0  |  Submit date:2023/02/07
The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
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
Favorite  |  View/Download:15/0  |  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
Favorite  |  View/Download:72/0  |  Submit date:2022/04/02
steady vortex solutions  elliptic equations  variational method  desingularization  maximizer  
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
Favorite  |  View/Download:117/0  |  Submit date:2021/10/26