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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
Favorite  |  View/Download:22/0  |  Submit date:2022/04/02
steady vortex solutions  elliptic equations  variational method  desingularization  maximizer  
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
Authors:  Cao, Daomin;  Wang, Guodong
Favorite  |  View/Download:46/0  |  Submit date:2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
Local uniqueness for vortex patch problem in incompressible planar steady flow 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 131, 页码: 251-289
Authors:  Cao, Daomin;  Guo, Yuxia;  Peng, Shuangjie;  Yan, Shusen
Favorite  |  View/Download:68/0  |  Submit date:2020/05/24
Uniqueness  Vortex parch  Steady solutions  Euler equation  
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
Authors:  Cao, Daomin;  Wang, Guodong
Favorite  |  View/Download:84/0  |  Submit date:2020/01/10
vortex-wave system  vortex patch  Euler equation  Kirchhoff-Routh function  maximization  desingularization  
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 346, 页码: 946-1008
Authors:  Chen, Gui-Qiang G.;  Huang, Fei-Min;  Wang, Tian-Yi;  Xiang, Wei
Favorite  |  View/Download:74/0  |  Submit date:2019/12/13
Steady Euler flows  Large vorticity  Characteristic discontinuities  Free boundary  Existence  Uniqueness  
Steady vortex patches with opposite rotation directions in a planar ideal fluid 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 卷号: 58, 期号: 2, 页码: 17
Authors:  Cao, Daomin;  Wang, Guodong
Favorite  |  View/Download:69/0  |  Submit date:2020/01/10
Explicit symplectic schemes for investigating the evolution of vortices in a rotating Bose-Einstein Condensate 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2003, 卷号: 155, 期号: 2, 页码: 132-143
Authors:  Tian, YM;  Qin, MZ
Favorite  |  View/Download:18/0  |  Submit date:2018/07/30
explicit  symplectic  Bose-Einstein condensate  Gross-Pitaevskii equation  vortices