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SUMMARY:Long time behavior for vortex dynamics in the 2 dimensional Euler 
 equations - Monica Musso\, University of Bath
DTSTART:20241021T130000Z
DTEND:20241021T140000Z
UID:TALK222637@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:The evolution of a two dimensional incompressible ideal fluid 
 with smooth initial vorticity concentrated in small regions is well unders
 tood on finite intervals of time: it converges to a super position of Dira
 c deltas centered at collision-less solutions to the point vortex system\,
  in the limit of vanishing regions. Even though  for generic initial condi
 tions the vortex point system has a global smooth solution\, much less is 
 known on the long time behavior of the fluid vorticity.\n\nWe consider the
  case of two vortex pairs traveling in opposite directions. Using gluing m
 ethods we describe the global dynamics of this configuration. This work is
  in collaboration with J Davila (U. of Bath)\, M. del Pino (U of Bath) and
  S. Parmeshwar (Warwick University).
LOCATION:MR13
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