Prof. Boris Khesin (Department of Mathematics,
University of Toronto, Canada)
Title: Hamiltonian dynamics of vortex
membranes
Abstract: We show that an approximation of the hydrodynamical
Euler equation describes the skew-mean-curvature flow on vortex membranes in any
dimension. This generalizes the classical binormal, or vortex filament, equation in
3D. We present a Hamiltonian framework for dynamics of higher-dimensional vortex
filaments and vortex sheets as singular 2-forms (Green currents) with support of
codimensions 2 and 1, respectively.
Seminars are held at 2:00 pm on Wednesdays in the Access Grid Room ( Carslaw Building, 8th floor, room 829), unless otherwise noted.
More on the Applied Maths Seminar webpage
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