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Dynamical Systems Seminar: Manuele Santoprete

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

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Date and time:Ìý

Thursday, October 27, 2011 - 4:00pm

Abstract:Ìý

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 theÌý relative equilibria in the four vortex problem with two pairs of equal vorticities.