77 citations · 331 across the 58 of their papers we have counts for
59 papers
Global persistence of nearly radial concentrated vortices in a bounded domain
Daomin Cao, Guodong Wang
In this paper, we study the evolution of nearly radial concentrated vortices for the incompressible Euler equation in a bounded planar domain. We prove that if a single vortex is i…
Stability of degree-2 Rossby-Haurwitz waves
Daomin Cao, Guodong Wang, Bijun Zuo
Rossby-Haurwitz (RH) waves are important explicit solutions of the incompressible Euler equation on a two-dimensional rotating sphere. In this paper, we prove the orbital stability…
Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation
Daomin Cao, Shanfa Lai, Guolin Qin
In this paper, we systematically study the existence, asymptotic behaviors, uniqueness, and nonlinear orbital stability of traveling-wave solutions with small propagation speeds fo…
Structure of Green's function of elliptic equations and helical vortex patches for 3D incompressible Euler equations
Daomin Cao, Jie Wan
We develop a new structure of the Green's function of a second-order elliptic operator in divergence form in a 2D bounded domain. Based on this structure and the theory of rearrang…
Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation
Daomin Cao, Shanfa Lai, Guolin Qin +2
In this paper, we are concerned with the uniqueness and nonlinear stability of vortex rings for the 3D Euler equation. By utilizing Arnold 's variational principle for steady state…
Helical vortices with small cross-section for 3D incompressible Euler equation
Daomin Cao, Jie Wan
In this article, we construct traveling-rotating helical vortices with small cross-section to the 3D incompressible Euler equations in an infinite pipe, which tend asymptotically t…