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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：74/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载：254/0  |  提交时间：2023/02/07
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：161/0  |  提交时间：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability  
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：187/0  |  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：194/0  |  提交时间：2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
HIGH ENERGY SOLUTIONS OF THE CHOQUARD EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 卷号: 38, 期号: 6, 页码: 3023-3032
作者:  Cao, Daomin;  Li, Hang
收藏  |  浏览/下载：144/0  |  提交时间：2019/12/13
Choquard equation  global compactness  mini-max method  Brouwer degree  high energy solution  
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 6, 页码: 1389-1414
作者:  Cao, Daomin;  Yan, Shusen
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM 期刊论文
ACTA MATHEMATICA SCIENTIA, 2010, 卷号: 30, 期号: 6, 页码: 2064-2076
作者:  Ren Jian;  Fu Hongbo;  Cao Daomin;  Duan Jinqiao
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
microscopic-macroscopic system  stochastic partial differential equations  averaging principle  effective dynamics  slow-fast scales  
INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY 期刊论文
ACTA MATHEMATICA SCIENTIA, 2010, 卷号: 30, 期号: 6, 页码: 2017-2032
作者:  Cao Daomin;  Yan Shusen
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
semilinear elliptic equations  infinitely many solutions  variational method  
LOCAL EXACT CONTROLLABILITY OF THE NAVIER-STOKES EQUATIONS WITH THE CONDITION ON THE PRESSURE ON PARTS OF THE BOUNDARY 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 卷号: 48, 期号: 6, 页码: 3805-3837
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
Navier-Stokes equations  controllability  Carleman inequality  boundary condition on the pressure