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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
作者:  Cao, Daomin;  Wan, Jie
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
steady vortex patch  desingularization  Kirchhoff--Routh function  Robin function  variational method  
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
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:150/0  |  提交时间:2021/10/26
Euler equations  vortex patch  nonlinear stability  Kirchhoff-Routh 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
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载:152/0  |  提交时间:2021/04/26
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
作者:  Cao, Daomin;  Wang, Guodong;  Zuo, Bijun
收藏  |  浏览/下载:159/0  |  提交时间:2021/04/26
Euler equation  Ideal fluid  Vortex patch  Kirchhoff-Routh function  Variational problem  
EXISTENCE OF STEADY MULTIPLE VORTEX PATCHES TO THE VORTEX-WAVE SYSTEM 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2020, 卷号: 308, 期号: 2, 页码: 257-279
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:145/0  |  提交时间:2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 卷号: 51, 页码: 19
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong
收藏  |  浏览/下载:259/0  |  提交时间:2020/01/10
Fluid dynamics  Incompressible Euler flows  Vortex patch  
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
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:197/0  |  提交时间:2020/01/10
vortex-wave system  vortex patch  Euler equation  Kirchhoff-Routh function  maximization  desingularization