Senior Visiting Programs 2014

seminar: Vortex filament dynamics

speaker: Walter Craig (The Fields Institute for Research in Mathematical Sciences and McMaster University)

abstract: This talk describes a phenomenon observed in solutions of the Euler equations for an incompressible fluid, in a setting with a strong analogy to Hamiltonian dynamical systems. The analysis will address a system of model equations for the dynamics of near-parallel vortex filaments in a three dimensional fluid. These equations can be formulated as a Hamiltonian system of partial differential equations, 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, along with a topological principle to count multiplicity of solutions. This is ongoing joint work with C. Garcia (McMaster) and C.-R. Yang (Fields Institute)

timetable:
Fri 5 Sep, 15:30 - 17:00, Sala Conferenze Centro De Giorgi
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