Date: Tuesday,  2nd November 2021
Time: 16:00-17:00  (Time in Rome)
Where: Aula Dal Passo  (+ Streaming via Microsoft Teams, see link below)

Speaker:  Stefano Pasquali (Lund University, Sweden)

Title:  Chaotic-like transfers of energy in Hamiltonian PDEs

Abstract:
A fundamental problem in nonlinear Hamiltonian PDEs on compact manifolds is understanding how solutions can exchange energy among Fourier modes. I will present a recent result which shows a new type of chaotic-like transfers of energy for the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equation on the 2-dimensional torus by combining techniques from dynamical systems and PDEs .
This mechanism is based on the existence of heteroclinic connections between invariant manifolds and on the construction of symbolic dynamics (Smale horseshoe) for the Birkhoff Normal Form truncation of those equations.
This is a joint work with F. Giuliani, M. Guardia and P. Martin (UPC, Barcelona).

MS Teams Link:
https://teams.microsoft.com/l/meetup-join/19%3a7f273a2aff1145dfae91372d186b1cd9%40thread.tacv2/1635254068342?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22d37d6fea-2e4d-4c35-88e4-99bf4cf68fe9%22%7d




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