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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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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
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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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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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Euler equations  vortex patch  nonlinear stability  Kirchhoff-Routh function  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
Authors:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
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Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
LIOUVILLE TYPE THEOREMS FOR FRACTIONAL AND HIGHER-ORDER FRACTIONAL SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 5, 页码: 2269-2283
Authors:  Cao, Daomin;  Qin, Guolin
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Fractional Laplacians  Henon-Lane-Emden systems  decay estimates  higher-order fractional Laplacians  Lionville type theorems  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
Authors:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
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Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
Authors:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
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Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
Rotating vortex patches for the planar Euler equations in a disk 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 509-532
Authors:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
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Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
Existence of Steady Symmetric Vortex Patch in a Disk 期刊论文
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 卷号: 23, 期号: 1, 页码: 13
Authors:  Cao, Daomin;  Wang, Guodong;  Zuo, Bijun
Favorite  |  View/Download:37/0  |  Submit date:2021/04/26
Euler equation  Ideal fluid  Vortex patch  Kirchhoff-Routh function  Variational problem