Mathematics and Statistics

Colloquium: Vortex Filament Dynamics

Author: UNB

Posted on Nov 29, 2013

Category: Seminars and Colloquia


Vortex Filament Dynamics

Walter Craig (McMaster) Thursday, October 10, 2013 at 2:30 pm Tilley Hall Room 125
In this talk I will describe a problem in fluid dynamics concerning the interaction of two near-parallel vortex filaments in three dimensions. This is an example of phase space analysis of a partial differential equation (PDE) that can be formulated as a Hamiltonian dynamical system with infinitely many degrees of freedom. Mathematicians have developed techniques for studying the phase space dynamics of many nonlinear Hamiltonian PDEs, and this is a case with particular relevance to fluid dynamical models. In addition, I will speculate about further applications of the techniques of Hamiltonian PDEs to other nonlinear systems of equations relevant to a number of physical settings.
Walter Craig is Director of The Fields Institute for Research in Mathematical Science and a Canada Research Chair at McMaster University