Scientific Computation and Applied & Industrial Mathematics: Anna Barry

  • Date: 10/06/2015
  • Time: 12:30
Anna Barry, UBC

University of British Columbia


Relative Equilibria with a Dominant Vortex


In fluids, the presence of a dominant vortex has an organizing effect on the surrounding flow. We exploit this effect to simplify the stability problem for relative equilibria of (N+1) interacting point vortices, where N vortices have infinitesimal circulation and one vortex is strong in relation. Within this framework, existence and stability of equilibria reduces to characterizing critical points of a function defined on a circle. In the case that all vortices have circulation of the same sign, this function is potential-like, with minima corresponding to stable configurations and maxima and saddle points corresponding to unstable solutions. Surprisingly, typical stable configurations exhibit asymmetry.

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Location: ESB 4133