Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

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:
Locandina

Descrizione

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 positive energy level. The result is a joint work with A.Venturelli (https://arxiv.org/abs/1908.09252).  

Sede

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

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino