50 citations · 112 across the 28 of their papers we have counts for
Showing 2020 · math.APShow all
3 papers · 2 filters
math.AP2020
Stability of Hill's spherical vortex
Kyudong Choi
We study stability of a spherical vortex introduced by M. Hill in 1894, which is an explicit solution of the three-dimensional incompressible Euler equations. The flow is axi-symme…
math.AP2020
Growth of perimeter for vortex patches in a bulk
Kyudong Choi, In-Jee Jeong
We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on and whose perimeter grows with time. More precisely,…
math.AP2020★ 4 cited
On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations
Kyudong Choi, In-Jee Jeong
We consider vortex patch solutions of the incompressible Euler equations in the plane. It is shown that the winding number around the origin for most particles in the patch grows l…