11 citations · 59 across the 30 of their papers we have counts for
7 papers · 1 filter
On desingularization of steady vortex in the lake equations
Daomin Cao, Weicheng Zhan, Changjun Zou
We constructed a family of steady vortex solutions for the lake equations with general vorticity function, which constitute a desingularization of a singular vortex. The precise lo…
Steady vortex flows of perturbation type in a planar bounded domain
Daomin Cao, Guodong Wang, Zhan Weicheng
In this paper, we investigate steady Euler flows in a two-dimensional bounded domain. By an adaption of the vorticity method, we prove that for any nonconstant harmonic function $q…
Desingularization of vortices for 2D steady Euler flows via the vorticity method
Daomin Cao, Guodong Wang, Weicheng Zhan
In this paper, we consider steady Euler flows in a planar bounded domain in which the vorticity is sharply concentrated in a finite number of disjoint regions of small diameter. Su…
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…
Steady vortex patches near a nontrivial irrotational flow
Daomin Cao, Guodong Wang, Weicheng Zhan
In this paper, we study the vortex patch problem in an ideal fluid in a planar bounded domain. By solving a certain minimization problem and studying the limiting behavior of the m…