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SUMMARY:The filament equation in any dimension - Khesin\, B (University of
  Toronto)
DTSTART:20120725T080000Z
DTEND:20120725T084000Z
UID:TALK39060@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We show that the LIA approximation of the incompressible Euler
  equation describes the skew-mean-curvature flow on vortex membranes in an
 y dimension. This generalizes the classical binormal\, or vortex filament\
 , equation in 3D. We present a Hamiltonian framework for higher-dimensiona
 l vortex filaments and vortex sheets as singular 2-forms with support of c
 odimensions 2 and 1\, respectively. This framework\, in particular\, allow
 s one to define the symplectic structures on the spaces of vortex sheets.\
 n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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