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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
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:143/0  |  提交时间:2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 484, 期号: 1, 页码: 42
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载:200/0  |  提交时间:2020/05/24
Heat-conducting fluids  Dissipative heating  Mixed boundary conditions  Tresca slip  Leak boundary conditions  Pressure boundary condition  
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:159/0  |  提交时间:2020/09/23
A NOTE ON STEADY VORTEX FLOWS IN TWO DIMENSIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 3, 页码: 1153-1159
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:179/0  |  提交时间:2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 卷号: 51, 页码: 19
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong
收藏  |  浏览/下载:254/0  |  提交时间:2020/01/10
Fluid dynamics  Incompressible Euler flows  Vortex patch  
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:144/0  |  提交时间:2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability