Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC 4020
Walter Craig
The Fields Institute and McMaster University
Vortex filament dynamics
I will describe a a problem in mathematical hydrodynamics, in a setting with a strong analogy to Hamiltonian dynamical systems. The analysis addresses vortex filaments for the three dimensional Euler equations, and a system of model equations for the dynamics of near-parallel filaments. These PDEs can be formulated as a Hamiltonian system, and the talk will describe some aspects of a phase space analysis of solutions, including a theory of periodic and quasi-periodic orbits via a version of KAM theory, a brief description of the relevance of Anderson localization, and a topological principle to count multiplicity of solutions. This is ongoing joint work with C. Garcia (Rome 1 - La Sapienza) and C.-R. Yang (McMaster and the Fields Institute).
Wine and Cheese Reception to follow in MC 6496
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
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