11 citations · 17 across the 15 of their papers we have counts for
7 papers · 1 filter
Singularity for a multidimensional variational wave equation arising from nematic liquid crystals
Yanbo Hu, Guodong Wang
This article is focused on a multidimensional nonlinear variational wave equation which is the Euler-Lagrange equation of a variational principle arising form the theory of nematic…
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…
On radial symmetry of rotating vortex patches in the disc
Guodong Wang, Bijun Zuo
In this note, we consider the radial symmetry property of rotating vortex patches for the 2D incompressible Euler equations in the unit disc. By choosing a suitable vector field to…
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…
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
Guodong Wang, Bijun Zuo
In this paper, we study steady vortex patch solutions to the incompressible Euler equations in a planar bounded domain . Let be the solution of the elliptic problem $-Δψ_{…