University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday February 10, 3:10-4pm
                          6183 Bahen Center      



SPEAKER:  Helena Nussenzveig Lopes

TITLE:    Recent progress on the evolution of vortex sheets

ABSTRACT: Vortex sheets in the plane are curves along which 
          an incompressible, inviscid fluid flow is 
          tangentially discontinuous. They arise as an 
          idealized model for the flow trailing an airfoil. 
          In this talk I will describe two classical 
          mathematical models for tracking the evolution of 
          a vortex sheet: the Birkhoff-Rott model and the 
          weak solutions for incompressible 2D Euler equations 
          with vortex sheet initial data. I will discuss recent 
          progress in the mathematical treatment of both models, 
          and a sharp criterion 
          for their equivalence.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2005-2006 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Bob Jerrard           rjerrard@ math.toronto.edu
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