52 citations · 198 across the 31 of their papers we have counts for
4 papers · 1 filter
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…
Existence, uniqueness and stability of steady vortex rings of small cross-section
Daomin Cao, Guolin Qin, Weilin Yu +2
This paper is concerned with steady vortex rings in an ideal fluid of uniform density, which are special global axi-symmetric solutions of the three-dimensional incompressible Eule…