9 citations · 9 across the 10 of their papers we have counts for
12 papers
Stability and instability of Kelvin waves
Kyudong Choi, In-Jee Jeong
The -waves of Kelvin are uniformly rotating patch solutions of the 2D Euler equations with -fold rotational symmetry for . For Kelvin waves sufficiently close to the…
Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole
Kyudong Choi, In-Jee Jeong
We prove linear in time filamentation for perturbations of the Lamb dipole, which is a traveling wave solution to the incompressible Euler equations in . The main ing…
Stability of radially symmetric, monotone vorticities of 2D Euler equations
Kyudong Choi, Deokwoo Lim
We consider the incompressible Euler equations in when the initial vorticity is bounded, radially symmetric and non-increasing in the radial direction. Such a radial distribu…
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,…
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…
Stability of Lamb dipoles
Ken Abe, Kyudong Choi
The Lamb dipole is a traveling wave solution to the two-dimensional Euler equations introduced by S. A. Chaplygin (1903) and H. Lamb (1906) at the early 20th century. We prove orbi…