Published: Oct. 27, 2011

Relative equilibria in the four vortex problem with two pairs of equal vorticities

Manuele Santoprete

 

Department of Mathematics, Wilfrid Laurier University

 

Date and time: 

Thursday, October 27, 2011 - 4:00pm

Abstract: 

The N-vortex problem concerns the dynamics of N point vortices moving in the plane. Of particular interest in this problem are solutions that appear fixed when viewed in an uniformly rotating frame. Such solutions are called relative equilibria. In this presentation we describe a complete classification of the  relative equilibria in the four vortex problem with two pairs of equal vorticities.