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Andrea Venturelli (Université d’Avignon, France)

January 14 @ 4:00 pm - 5:00 pm CET

Speaker: Andrea Venturelli  (Université d’Avignon, France)

Title: Hyperbolic motion in the Newtonian N-body problem with arbitrary limit shape

Abstract: We prove for the N-body problem the existence of hyperbolic motions for any prescribed limit shape 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 equation H(x,du(x))=h. Our hyperbolic motion is in fact a calibrating curve of the viscosity solution. The presented results can also be viewed as a new application of Marchal’s theorem, whose main use in recent literature has been to prove the existence of periodic orbits. Joint work with Ezequiel Maderna.

NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.

Details

Date:
January 14
Time:
4:00 pm - 5:00 pm CET
Event Category:
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Venue

Seminar is over: see YouTube recording
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Organizer

DAI Seminar Committee
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The Community of Italian Dynamicists