제목: Existence of a touching dipole as a maximizer of kinetic energy (25/1/7)
연사: 최규동 교수님 (UNIST)
일시: 2025년 1월 7일 오후 4시.
장소: 권택연 세미나실 (아산 이학관 526호)
초록: 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 axis. Its existence was first suggested by numerical computations of Sadovskii in [J. Appl. Math. Mech., 1971], and has gained significant interest due to its relevance in the inviscid limit of planar flows via Prandtl–Batchelor theory and as the asymptotic state for vortex ring dynamics. In this talk, I will explain the motivation why to study a Sadovskii vortex patch, and sketch its proof of the existence of such a vortex, by solving the energy maximization problem under the exact impulse condition and an upper bound on the circulation. This is joint work with In-Jee Jeong(SNU) and Youngjin Sim(UNIST).