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SUMMARY:Andrea Venturelli (Université d'Avignon (France))
DTSTART:20210114T150000Z
DTEND:20210114T160000Z
DTSTAMP:20260423T023018Z
UID:DinAmicI/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/14/
 ">Hyperbolic motion in the Newtonian N-body problem with arbitrary limit s
 hape</a>\nby Andrea Venturelli (Université d'Avignon (France)) as part of
  DinAmicI: Another Internet Seminar\n\n\nAbstract\nWe prove for the N-body
  problem the existence of hyperbolic motions for any prescribed limit shap
 e and any given initial configuration of the bodies. The energy level h>0 
 of the motion can also be chosen arbitrarily. Our approach is based on the
  construction of a global viscosity solutions for the Hamilton-Jacobi equa
 tion H(x\,du(x))=h. Our hyperbolic motion is in fact a calibrating curve o
 f the viscosity solution. The presented results can also be viewed as a ne
 w application of Marchal’s theorem\, whose main use in recent literature
  has been to prove the existence of periodic orbits. Joint work with Ezequ
 iel Maderna.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/14/
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