The Global Phase Plane Analysis of Three Vortex Interactions
Apr 23, 2025·
·
0 min read
Dr. Atul Anurag
Abstract
We investigate global phase planes in point-vortex dynamics in a two-dimensional, inviscid, incompressible fluid. We derive a symplectic reduction of a system involving three vortices, initially employing Jacobi coordinates followed by Lie-Poisson reduction. We conduct a global phase analysis of a three-vortex problem with arbitrary circulations with novel bifurcation analysis. This reduction method eliminates coordinate singularities that made understanding the dynamics challenging.
Date
Apr 23, 2025 9:30 AM — 9:55 AM
Event
Location
New Jersey Institute of Technology
323 Dr Martin Luther King Jr Blvd, Newark, NJ 07102
