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SUMMARY:Analytical and convergence properties of the Euler-α model - Jasm
 ine Linshiz\, Weizmann Institute of Science
DTSTART:20100305T110000Z
DTEND:20100305T120000Z
UID:TALK23649@talks.cam.ac.uk
CONTACT:Dan Brinkman
DESCRIPTION:We present an analytical study of the two-dimensional incompre
 ssible Euler-alpha\, an inviscid second-grade complex fluid\, equations\, 
  for vortex patch and vortex sheet motion.  We show the convergence of the
  solutions of the Euler-alpha equations to solutions of the Euler equation
 s\, and estimate the convergence rate for vortex patch with smooth boundar
 ies.  For the vortex sheet dynamics we present an alpha-regularization of 
 the Birkhoff-Rott equation\, induced by the Euler-alpha equations.
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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