From: BrendaSueCook (brenda@math.missouri.edu)
Date: Mon Apr 23 2007 - 14:14:50 CDT
Master’s Project
Department of Mathematics
Robert Gastler
University of Missouri-Columbia
Onsager’s vortex approximation
for plane flows
Abstract: Onsager’s Hamiltonian approximation for the flow of ideal
fluids in two dimensions will be presented. The approximation is via a
finite number of vortices supported by N points on the plane.
For almost all initial conditions, with respect to 2N-dimensional
Lebesgue measure, Onsager solutions exist for any finite time, provided
that the total vorticity is not zero.
4:00 p.m.
Wednesday, April 25
312 Math Sciences
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