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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
Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition
Ken Abe, Kyudong Choi, In-Jee Jeong
In this paper, we consider the stability of the Lamb dipole solution of the two-dimensional Euler equations in and question under which initial disturbance the Lam…
math.AP2025
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…