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math.AP2026
Lamb dipole stability without sign condition
Ken Abe, Kyudong Choi, In-Jee Jeong +1
For the 2D incompressible Euler equations on the half-plane, we establish Lyapunov stability of the Lamb dipole without sign condition on the vorticity. The main challenge arises f…
math.AP2026
A Variational Family of Traveling Vortex Dipoles: Transition, Uniqueness, and Stability
Ken Abe, In-Jee Jeong, Guolin Qin +1
We provide a unified description of a stable variational family of traveling vortex dipoles for the two-dimensional incompressible Euler equations, connecting the classical Lamb di…
math.AP2026
Global dynamics of a single vortex ring
Dengjun Guo, In-Jee Jeong, Lifeng Zhao
We study the global-in-time dynamics of vortex rings for the three-dimensional incompressible Euler equations, under the assumption of axisymmetric flows without swirl. For a broad…