Analysis Seminar

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Relative Equilibria for Planar Euler Equations

Speaker: Zineb Hassainia, Courant

Location: Warren Weaver Hall 101

Date: Tuesday, May 2, 2017, 2:30 p.m.

Synopsis:

Vortex relative equilibria are configurations of vortices that maintain their basic shapes for all time, while rotating or translating rigidly in space. We shall discuss in this talk the immersion of these patterns where the underlying dynamics are governed by the two-dimensional Euler equations. The main concern is to investigate the existence of the di-polar and multi-polar V-states via the contour dynamics equations combined with a desingularization of the point vortex and the application of the implicit function theorem.