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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:151/0  |  提交时间:2021/04/26
Vortex patch  Euler equations  Variational analysis  Nonlinear orbital stability  
REGULARIZATION OF PLANAR VORTICES FOR THE INCOMPRESSIBLE FLOW 期刊论文
ACTA MATHEMATICA SCIENTIA, 2018, 卷号: 38, 期号: 5, 页码: 1443-1467
作者:  Cao, Daomin;  Peng, Shuangjie;  Yan, Shusen
收藏  |  浏览/下载:180/0  |  提交时间:2018/11/16
regularization  planar vortices  vorticity sets  reduction  
Multiplicity of solutions for the plasma problem in two dimensions 期刊论文
ADVANCES IN MATHEMATICS, 2010, 卷号: 225, 期号: 5, 页码: 2741-2785
作者:  Cao, Daomin;  Peng, Shuangjie;  Yan, Shusen
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
Semilinear elliptic equations  Variational method  Multiple solutions  Free boundary  Asymptotic behavior  
Multiscale-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 卷号: 360, 期号: 7, 页码: 3813-3837
作者:  Cao, Daomin;  Noussair, Ezzat S.;  Yan, Shusen
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
Multi-bump bound states of Schrodinger equations with a critical frequency 期刊论文
MATHEMATISCHE ANNALEN, 2006, 卷号: 336, 期号: 4, 页码: 925-948
作者:  Cao, Daomin;  Peng, Shuangjie
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation  bound states  
Multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 203, 期号: 2, 页码: 292-312
作者:  Cao, DM;  Noussair, ES
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
multi-bump  standing waves  variational method  nonlinear Schrodinger equation