[GS_M_APP] Stability of Vortex Dipoles in Two-Dimensional Euler Flows
ABSTRACT
In this talk, I will present recent results on the existence and stability of traveling wave solutions to the two-dimensional incompressible Euler equations, which take the form of counter-rotating vortex dipoles symmetric across a horizontal axis. These structures include classical examples such as the Chaplygin–Lamb dipole and the Sadovskii vortex patch, both of which exhibit singular behavior near the symmetry axis. I will describe a variational framework for constructing such solutions and discuss their stability properties. This is joint work with Kyudong Choi and Young-Jin Sim (UNIST).