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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载:62/0  |  提交时间:2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
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
作者:  Cao, Daomin;  Qin, Guolin;  Zhan, Weicheng;  Zou, Changjun
收藏  |  浏览/下载:182/0  |  提交时间: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
作者:  Cao, Daomin;  Lai, Shanfa;  Zhan, Weicheng
收藏  |  浏览/下载:122/0  |  提交时间:2022/04/02
35J60  35Q31  76B47  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载:173/0  |  提交时间:2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
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:153/0  |  提交时间: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
作者:  Cao, Daomin;  Wan, Jie;  Zhan, Weicheng
收藏  |  浏览/下载:190/0  |  提交时间:2021/01/14
ON GROUND STATE OF FRACTIONAL SPINOR BOSE EINSTEIN CONDENSATES 期刊论文
ADVANCES IN DIFFERENTIAL EQUATIONS, 2020, 卷号: 25, 期号: 3-4, 页码: 105-134
作者:  Cao, Daomin;  He, Jinchun;  Xu, Haoyuan;  Yang, Meihua
收藏  |  浏览/下载:165/0  |  提交时间:2020/09/23
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
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:177/0  |  提交时间:2020/01/10
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载:187/0  |  提交时间:2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
Nodal solutions for a supercritical semilinear problem with variable exponent 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 2, 页码: 19
作者:  Cao, Daomin;  Li, Shuanglong;  Liu, Zhongyuan
收藏  |  浏览/下载:163/0  |  提交时间:2018/07/30