Andrea Venturelli (Université d’Avignon, France)

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.

Time and location: Thu, 14 Jan 2021 16:00:00 UTC - TBA
Click on + iCal Export or on + Google Calendar to add this event to your calendar.

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.