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SUMMARY:On an infinite hierarchy of particle-like solutions to a regulariz
 ed Euler’s equation
DTSTART:20140415T161500
DTEND:20140415T171500
DTSTAMP:20260929T042046Z
UID:6029b5cb79770dfa26e1b72a50384b5ef2a3c015b8187f8e56c1b6c3
CATEGORIES:Conferences - Seminars
DESCRIPTION:David Meier (Brunel\, London)\nGeometry and Dynamics SeminarAb
 stract: Particle-like solutions to partial differential equations are valu
 able for their numerical tractability. In a recent paper by Jacobs\, Ratiu
  & Desbrun\, it was shown by a symmetry reduction argument that there exis
 ts an infinite hierarchy of particle-like solutions to a regularized form 
 of Euler’s equation. In this talk I will present an easy explicit constr
 uction of the hierarchy. I will also show simulations that illustrate how 
 particles behave in collision events\; namely\, two colliding particles as
 ymptotically merge into a single particle at a higher level in the hierarc
 hy. This is joint work with Colin Cotter\, Darryl Holm and Henry Jacobs.
LOCATION:MA A3 31
STATUS:CONFIRMED
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