Vortragsankündigung

Im Rahmen des Oberseminars Analysis/Numerik spricht

Herr Prof. Dr. Andreas Knauf (FAU Erlangen-Nürnberg)

über

Phase space compactification and regularisation for celestial bodies

In a joint work with Richard Montgomery (RCD, 2023) we compactify every energy surface for n bodies with homogeneous pair interaction, obtaining a manifold with corners in the sense of Melrose. After a time change, the flow on it is globally defined and is non-trivial on the boundary. This allows a detailed understanding of the dynamics at almost-collisions, and other asymptotics.

A second topic will be regularisation by symplectic phase space extension for 2(1/n-1)- homogeneous potentials. Here n is an integer, n=2 corresponding to the Kepler potential, and the method works in any dimension (Nonlinearity, 2025).

Der Vortrag findet statt am

Donnerstag, den 13.11.2025 um 14.15 – 15.15 Uhr im Raum W01 0-006

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