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SUMMARY:Global existence and collisions for certain configurations of near
 ly parallel vortex filaments - Evelyne Miot (Paris-Sud Orsay)
DTSTART:20111107T160000Z
DTEND:20111107T170000Z
UID:TALK34007@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:A system of simplified equations has been derived by Klein\, M
 ajda and Damodaran to describe the dynamics of nearly parallel vortex fila
 ments in incompressible 3D fluids. This system combines a 1D Schrödinger-
 type structure together with the 2D point vortex system. Global existence 
 for small perturbations of exact parallel filaments has been established b
 y Kenig\, Ponce and Vega in the case of two filaments and for particular c
 onfigurations of three filaments. In this talk I will present large time e
 xistence results for particular configurations of four filaments and for o
 ther particular configurations of N filaments for any N larger than 2. I w
 ill also provide some particular cases of collisions in finite time. This 
 is joint work with Valeria Banica.
LOCATION:CMS\, MR15
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