3 papers
math.AP2026
Existence and stability of Sadovskii vortices: from patch to smooth vortices
Ken Abe, Kyudong Choi, In-Jee Jeong +2
We establish a scaling-invariant variational framework for steadily translating dipoles of the two-dimensional incompressible Euler equations. Specifically, we consider the maximiz…
math.AP2025
Vortex atmospheres of traveling vortices: rigorous definition, existence, and topological classification
Kyudong Choi, In-Jee Jeong, Young-Jin Sim
In incompressible and inviscid fluids, the vortex atmosphere refers to the collection of fluid particles outside the support of a traveling vortex that are nevertheless carried alo…
math.AP2025
On existence of Sadovskii vortex patch: A touching pair of symmetric counter-rotating uniform vortex
Kyudong Choi, In-Jee Jeong, Young-Jin Sim
The Sadovskii vortex patch is a traveling wave for the two-dimensional incompressible Euler equations consisting of an odd symmetric pair of vortex patches touching the symmetry ax…