12 citations · 39 across the 26 of their papers we have counts for
5 papers · 1 filter
Existence of steady symmetric vortex patch in a disk
Daomin Cao, Guodong Wang, Bijun Zuo
In this paper we construct a family of steady symmetric vortex patches for the incompressible Euler equations in an open disk. The result is obtained by studying a variational prob…
Existence of steady multiple vortex patches to the vortex-wave system
Daomin Cao, Guodong Wang
In this paper we prove the existence of steady multiple vortex patch solutions to the vortex-wave system in a planar bounded domain. The construction is performed by solving a cert…
Nonlinear Orbital Stability for Planar Vortex Patches
Daomin Cao, Guodong Wang, Jie Wan
In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a res…
Steady vortex patch solutions to the vortex-wave system
Daomin Cao, Guodong Wang
The vortex-wave system describes the motion of a two-dimensional ideal fluid in which the vorticity includes continuously distributed vorticity, which is called the background vort…
Euler evolution of a concentrated vortex in planar bounded domains
Daomin Cao, Guodong Wang
In this paper, we consider the time evolution of an ideal fluid in a planar bounded domain. We prove that if the initial vorticity is supported in a sufficiently small region with…