The Global Phase Plane Analysis of Three Vortex Interactions
Apr 23, 2025·
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0 min read

Atul Anurag (अतुल अनुराग)

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.
Event
Location
New Jersey Institute of Technology
323 Dr Martin Luther King Jr Blvd, Newark, NJ 07102