4 citations · 10 across the 14 of their papers we have counts for
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Desingularization of steady vortex of perturbation type in the lake equations
Daomin Cao, Jie Wan, Changjun Zou
In this paper, we study the desingularization of steady lake model of perturbation type with general nonlinearity f. Using the modified vorticity method, we construct a family of s…
Desingularization of vortex rings in 3 dimensional Euler flows: with swirl
Daomin Cao, Jie Wan, Weicheng Zhan
We study desingularization of steady vortex rings in three-dimensional axisymmetric incompressible Euler fluids with swirl. Using the variational method, we construct a two-paramet…
Rotating vortex patches for the planar Euler equations in a disk
Daomin Cao, Jie Wan, Guodong Wang +1
We construct a family of rotating vortex patches with fixed angular velocity for the two-dimensional Euler equations in a disk. As the vorticity strength goes to infinity, the limi…
Desingularization of vortex rings in 3 dimensional Euler flows
Daomin Cao, Jie Wan, Weicheng Zhan
In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity fu…