[CvGmt News] Seminario di Equazioni Differenziali: Alessandro Fortunati (26 marzo 2019)

Alfonso Sorrentino sorrentino at mat.uniroma2.it
Wed Mar 20 09:28:46 CET 2019


SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"


Martedì 26 marzo 2019, ore 14:30 Aula Dal Passo

Relatore: Alessandro Fortunati (University of Bristol, UK)

Titolo: Arnold’s diffusion and variational methods: a constructive proof.

Abstract: *The talk is focused on the well known phenomenon of topological
instability that can occour in a class of quasi-integrable systems, as
pointed out by V.I. Arnold in 1964. *


*Right after the publication of the comprehensive work by Chierchia and
Gallavotti in 1994 (based on geometric methods), a pioneering paper by U.
Bessi proposed a variational formulation for the very same model studied in
the original paper by Arnold. However, the constructivity of this approach
is not as manifest as in techniques of geometric nature such as the
Chierchia-Gallavotti or the Windows methods.The work presented is based on
a revisitation of the tools proposed by Bessi then developed by Berti,
Biasco and Bolle, in order to obtain a rigorous and constructive proof in
the case of the Arnold example. New tools are introduced in order to
formulate the quantitative estimates necessary for a machine implementation
apt to construct the diffusing trajectories.*



-- 
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"
Via della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594663
Fax:      +39 06 72594699
Web page: http://www.mat.uniroma2.it/~sorrenti
Email: sorrentino at mat.uniroma2.it
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://cvgmt.sns.it/pipermail/news/attachments/20190320/3bf6bdd2/attachment.html>


More information about the News mailing list