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SUMMARY:Localization of helical vortex filaments
DTSTART:20241206T141500
DTSTAMP:20260601T064125Z
UID:0d79a58d6083d8d9619ee0c72671770ef8a33ec3cd4ede34bd15762e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Martin Donati\nAbstract:\nIn the wake of a moving object i
 mmersed in a fluid\, such as wind turbines\, helicopters\, and airplanes\,
  singular vortex structures called vortex filaments are created. Moreover\
 , the rotating-translating movement creates a very specific structure: hel
 ical vortex filaments. The motion of general filaments is the subject of t
 he so-called "vortex filament conjecture" which is still open in most case
 s. Vortex filaments are too singular to be taken as an initial datum in th
 e  3D Euler equations\, so the movement of filaments is understood as the
  limit of smooth solutions concentrating near it. At the limit\, it is kno
 wn that the motion should be given by the binormal flow equation\, however
 \, it was only rigorously proved in very specific cases\, including vortex
  rings. We prove the vortex filament conjecture in another specific situat
 ion: helical vortex filaments.\n 
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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