Time:15:00-16:00, Thursday, October 30 2025

Venue: E4-233, Yungu Campus

Speaker: Shengyi Shen, Ningbo University

Title: Two-Point Vortex Confinement in a simply connected domain

Abstract: We investigate the vortex confinement property of the two-point vortex system in a planar domain. We compute the time over which initial point vortices around a stable stationary point remain within a slightly larger ball. In particular, we show that for almost all small initial position this concentration persists indefinitely regardless of the vorticity strengths. In the borderline of the stability condition, we show that this time becomes a power law, if in addition, one relaxes the size of the stability ball.

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