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CNA Seminar
Robert Jerrard
University of Toronto
Title: On the stability of filament flows and Schroedinger maps

Abstract: The study of vortex rings in incompressible 3D fluids dates back to Kelvin and Helmholtz in the mid-1800's. In 1906, Da Rios and Levi-Civita gave a formal derivation of a geometric flow for filaments of infinitely small cross section and arbitrary shape. This flow is now widely called the binormal curvature flow. In the talk, I will first review and then present recent results on stability estimates for the binormal curvature flow, and their application to certain Schrodinger maps.

This is joint work with Didier Smets.

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-RobertJerrard-Feb-12-2013.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-RobertJerrard-Feb-12-2013.mp4
Pdf File: JerrardRobert.pdf
Date: Tuesday, February 12, 2013
Time: 1:30 pm
Location: Wean 7218
Submitted by:  David Kinderlehrer