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Teaching

Renormalized energy of interacting vortex filaments By Prof. Robert Jerrard (University of Toronto)

  • Class schedule:  Wednesday May 27th, 2015 from 2:00 to 3:00pm
  • Location: Building 1, Room 4214​

 
Abstract
In the 1990s, Klein, Majda and Damodoaran presented a formal derivation, starting from basic equations of fluid dynamics, of a law of motion describing the evolution of a collection of nearly parallel vortex filaments in an ideal fluid. A rigorous justification of this model is an important open problem. We present results that are a step in this direction: we prove that the Gross-Pitaevskii equation (which described certain quantum fluids) possesses families of steady-state solutions that, in a scaling limit, exhibit vortex filaments that form a steady-state solution of the Klein-Majda-Damodaran system. This is joint work with Andres Contreras.

Biography
Robert Jerrard attended Deep Springs College and Cornell University as an undergraduate, receiving a Bachelor's degree in Physics from the latter in 1986. After working for several years, he went to graduate school in Mathematics at  UC Berkeley, completing his PhD under the supervision of L.C Evans in 1994. After a year as a postdoctoral fellow at Carnegie Mellon University, he worked as an Assistant and Associate Professor at the University of Illinois at Urbana-Champaign, and as an Associate and Full Professor at the University of Toronto, where he is currently Associate Chair for Research.