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Local uniqueness of vortices for 2D steady Euler flow in a bounded domain 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
Authors:  Cao, Daomin;  Yu, Weilin;  Zou, Changjun
Favorite  |  View/Download：3/0  |  Submit date：2023/02/07
The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
Authors:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
Favorite  |  View/Download：80/0  |  Submit date：2021/10/26
Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 487, 期号: 2, 页码: 15
Authors:  Wang, Guodong;  Zuo, Bijun
Favorite  |  View/Download：92/0  |  Submit date：2020/05/24
Euler equations  Vortex patch  Variational problem  Limiting behavior  
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
Authors:  Cao, Daomin;  Wang, Guodong
Favorite  |  View/Download：129/0  |  Submit date：2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
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
Authors:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
Favorite  |  View/Download：99/0  |  Submit date：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability  
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：115/0  |  Submit date：2020/05/24
Uniqueness  Vortex parch  Steady solutions  Euler equation  
Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2019, 卷号: 41, 期号: 1, 页码: 14
Authors:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
Favorite  |  View/Download：101/0  |  Submit date：2019/03/05
Incompressible Navier-Stokes equation  WENO scheme  Line Gauss-Seidel scheme  Spherical Couette flow  Spiral wavy Taylor vortex  
Simulation of spiral instabilities in wide-gap spherical Couette flow 期刊论文
FLUID DYNAMICS RESEARCH, 2018, 卷号: 50, 期号: 2, 页码: 17
Authors:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
Favorite  |  View/Download：96/0  |  Submit date：2018/07/30
spherical Couette flow  wide gap  Taylor vortex  spiral wave  
Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2018, 卷号: 40, 期号: 3, 页码: 15
Authors:  Abbas, Suhail;  Yuan, Li;  Shah, Abdullah
Favorite  |  View/Download：83/0  |  Submit date：2018/07/30
Spherical Couette flow  Wide gap  Symmetric Taylor vortices  Asymmetric Taylor vortices