5 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
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…
Existence and Stability of the Lamb Dipoles for the Quasi-Geostrophic Shallow-Water Equations
Shanfa Lai, Guolin Qin, Weicheng Zhan
In this paper, we prove the nonlinear orbital stability of vortex dipoles for the quasi-geostrophic shallow-water (QGSW) equations. The vortex dipoles are explicit travelling wave…
Traveling vortex pairs for 2D Boussinesq equations
Daomin Cao, Shanfa Lai, Guolin qin
In this paper, we study the existence and asymptotic properties of the traveling vortex pairs for the two-dimensional inviscid incompressible Boussinesq equations. We construct a f…
On the existence of vortex-wave systems to inviscid gSQG equation
Daomin Cao, Shanfa Lai, Changjun Zou
We study the existence of different vortex-wave systems for inviscid gSQG flow, where the total circulation are produced by point vortices and vortices with compact support. To ove…
Traveling vortex pairs for 2D incompressible Euler equations
Daomin Cao, Shanfa Lai, Weicheng Zhan
In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the…