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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:19/0  |  Submit date:2023/02/07
incompressible Euler equations  vortex ring  variational method  dcsingularization  
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:156/0  |  Submit date:2021/01/14
New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows 期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 11, 页码: 2247-2272
Authors:  Sun XiaoWei;  Wang YouDe
Favorite  |  View/Download:55/0  |  Submit date:2021/01/14
LANDAU-LIFSHITZ EQUATION  GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SOLITON  MAPS  KDV  new geometric flow  Schrodinger-Airy flow  global existence  
geometricschrodingerairyflowsonkahlermanifolds 期刊论文
actamathematicasinicaenglishseries, 2013, 卷号: 29, 期号: 2, 页码: 209
Authors:  Sun Xiaowei;  Wang Youde
Favorite  |  View/Download:87/0  |  Submit date:2020/01/10
Geometric Schrodinger-Airy flows on Kahler manifolds 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 209-240
Authors:  Sun Xiao Wei;  Wang You De
Favorite  |  View/Download:71/0  |  Submit date:2021/01/14
GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SYMMETRIC-SPACES  MKDV EQUATIONS  AXIAL-FLOW  MAPS  SOLITON  KDV  Schrodinger-Airy flow  complex-valued mKdV equation  KdV flow  generalized Hasimoto transformation  geometric energy method  conversation laws  
INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 卷号: 22, 期号: 10, 页码: 1439-1500
Authors:  Sun, Xiaowei;  Wang, Youde
Favorite  |  View/Download:89/0  |  Submit date:2018/07/30
KdV geometric flow  conversation law  semi-conversation law  Hasimoto transformation  geometric energy method  
The Fukumoto-Moffatt's model in the vortex filament and generalized bi-Schrodinger maps 期刊论文
PHYSICS LETTERS A, 2011, 卷号: 375, 期号: 12, 页码: 1457-1460
Authors:  Ding, Qing;  Wang, Wei;  Wang, Youde
Favorite  |  View/Download:65/0  |  Submit date:2018/07/30
Fukumoto-Moffatt's model  Geometric interpretation  Bi-Schrodinger map  
A refined well-posedness for the fourth-order Nonlinear schrodinger equation related to the vortex filament 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 卷号: 32, 期号: 10-12, 页码: 1493-1510
Authors:  Huo, Zhaohui;  Jia, Yueling
Favorite  |  View/Download:72/0  |  Submit date:2018/07/30
local well-posedness  the Fourier restriction norm  the fourth-order schrodinger equation