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November 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
A priori estimates for the 2D one-phase Muskat problem with contact points
13:30
Edoardo Bocchi - Aula Buzano (DISMA Politecnico di Torino)
We address the dynamics of a viscous and incompressible free-surface fluid in a Hele-Shaw cell or,
Date : Thursday, 14 November 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
On Courant and Pleijel theorems for sub-Riemannian Laplacians
13:00
Bernard Helffer - Aula Buzano (DISMA Politecnico di Torino)
We are interested in the number of nodal domains of eigenfunctions ofsub-Laplacians on sub-Riemannian manifolds. Specifically, we
Date : Tuesday, 19 November 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Directional maximal and singular integrals
15:00
Francesco Di Plinio - Aula Buzano (DISMA Politecnico di Torino)
This talk is concerned with L^p(R^n) estimates for maximal averaging operators on variable subspaces of codimension d between 1 and n-1, as well as
Date : Thursday, 21 November 2024
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Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
A variational analysis of nematic axisymmetric films
14:30
Giulia Bevilacqua - Aula Buzano (DISMA Politecnico di Torino)
Nematic films are thin fluid structures, ideally two dimensional, endowed with an in-plane degenerate nematic order. Some variational models
Date : Wednesday, 27 November 2024
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Kustaanheimo-Stiefel transformation and 3-dimensional integrable Kepler billiards

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Wednesday, 04 October 2023 14:30 - 15:30

Venue: Lei Zhao - Aula 2 (Dipartimento di Matematica, Università di Torino)

It is known that any billiard system in a Kepler force field with a conic section focused at the Kepler center is integrable (Panov '94, Gallavotti-Jauslin '20, Takeuchi-Zhao '21). From this, it is not a surprise that by rotation this gives rise to integrable Kepler billiards in three dimensions. On the other hand, the 3-dimensional Kepler problem are linked to the 4-dimensional Hooke problem by a transformation due to Kustaanheimo and Stiefel. It is again not a surprise that integrable billiards within these force fields are related. In this talk, I shall discuss that the Hooke-Kepler billiard link by Kustaanheimo-Stiefel transformation suggests that there should be no non-rotational invariant 3-dimensional integrable Kepler billiards, and this is not so evident.Joint work with Airi Takeuchi from Augsburg.

 

Speaker
Lei Zhao
Affiliation
Università di Augsburg
Room
Aula 2
Proposed by
Irene De Blasi

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