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NJIT Applied Mathematics Colloquium

Friday, April 9, 2010, 11:30am
Cullimore Lecture Hall II
New Jersey Institute of Technology

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Point Vortices: A Classical Mathematics Playground

Hassan Aref

Virginia Tech


Abstract

The idealization of a two-dimensional, ideal flow as a collection of point vortices embedded in otherwise irrotational flow yields a large number of insights and connects to several areas of mathematics. Several examples will be given including the integrability of the three-vortex problem, the interplay between relative equilibria of vortices and the roots of certain polynomials, projective geometry, and other topics. My hope is that these examples will garner further participation in the exploration of this intriguing dynamical system and draw in individuals from the mathematics community.




Last Modified: March 2010
Linda Cummings
L i n d a . J . C u m m i n g s @ n j i t . e d u