- Titolo:
- Viscosity solutions and hyperbolic motions: a new PDE method for the n-body problem
- Quando:
- 14.11.2019 11.30 h
- Dove:
- Palazzo Campana - Torino
- Aula:
- Aula 3
- Relatore:
- Prof. Ezequiel Maderna
- Afferenza:
- Universidad de la República, Uruguay
- Proponente:
- A. Boscaggin
- Locandina:

The classical n-body problem never stopped motivating mathematicians and causing new mathematical theories. It is one of the main and most faithful models for the study of the motion of the planets in our solar system. One of the simplest forms of evolution that we can imagine is one in which each body moves away from the others, the action of gravity vanishes, and the velocity of each body converges to a different vector of space. These motions are called hyperbolic and the shape of the body configuration converges to a limit shape. In this talk I will explain a variational method, using weak (viscosity) solutions of a Hamilton-Jacobi PDE, to prove that given an arbitrary initial position for each body, and given an arbitrary limit shape for the evolution, there is at least one motion with such initial positions and limit shape. Moreover, the method allow us to find a solution to this problem at any positiveÂÂ energy level. The result is a joint work with A.Venturelli (https://arxiv.org/abs/1908.09252). ÂÂ

- Sede:
- Palazzo Campana - Sito web
- Via:
- Via Carlo Alberto, 10
- Cap:
- 10123
- Città:
- Torino
- Provincia:
- To
- Paese:

Dipartimento di Matematica, Università degli Studi di Torino