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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
Favorite  |  View/Download：23/0  |  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
Favorite  |  View/Download：91/0  |  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：140/0  |  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
Favorite  |  View/Download：90/0  |  Submit date：2022/04/02
35J60  35Q31  76B47  
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
Favorite  |  View/Download：95/0  |  Submit date：2021/10/26
Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
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
Favorite  |  View/Download：121/0  |  Submit date：2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
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
Favorite  |  View/Download：162/0  |  Submit date：2021/01/14
Instability of the abstract Rayleigh-Taylor problem and applications 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020, 卷号: 30, 期号: 12, 页码: 2299-2388
Authors:  Jiang, Fei;  Jiang, Song;  Zhan, Weicheng
Favorite  |  View/Download：111/0  |  Submit date：2021/04/26
Rayleigh-Taylor instability  stratified viscous fluids  incompressible fluids  magnetohydrodynamic fluids  viscoelastic fluids  
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
Favorite  |  View/Download：116/0  |  Submit date：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability