Dynamical systems and PDE's at SISSA
Our group is interested in the qualitative analysis of the dynamics of dispersive Hamiltonian PDE's
using the tools from infinite dimensional dynamical systems. Typical problems are long time behaviour of
solutions, stability and instability of invariant objects, existence of time periodic or quasiperiodic solutions in fluids.
PhD students
- Luca Franzoi: Long time dynamics of Hamiltonian PDEs: linear Klein-Gordon and water waves equations, 2016-2020, coadvised with Massimiliano Berti.
It won the "Best thesis in mathematics prize in SISSA in 2020"
- Guido Mazzuca: Nonlinear lattices and random matrices , 2017-2021, coadvised with Tamara Grava.
It won the "Best thesis in mathematics prize in SISSA in 2021"
- Federico Murgante Hamiltonian PDEs in fluid dynamics: local and long time existence result , 2018-2023, coadvised with Massimiliano Berti
- Paolo Ventura Benjamin-Feir instability of Stokes waves , 2020-2024, coadvised with Massimiliano Berti
- Maria Teresa Rotolo, 2022--, ongoing
Master students
- Augusto del Zotto, Mixing and diffusion in incompressible fluids, UniTS/Sissa master, 2020.
- Maria Teresa Rotolo, Wave attractors and growth of Sobolev
norms in pseudodifferential Hamiltonians of degree zero, UniTS/Sissa master, 2022.
- Antonio Milosh Radakovic, On nonlinear modulational instability, ongoing, UniTS/Sissa master.
Bachelor students
- Roberto Netti: Modelli di tipo SEIR per la diffusione di malattie infettive: analisi e applicazioni a FVG, 2020
- Rodolfo Tolloi: Formulazione di problemi di ottimizzazione per il sistema D-WAVE, 2021
Tutoring
- Stefania Baronio: Simulazioni su tempi lunghi di sistemi Hamiltoniani, 2018
- Vincenzo di Florio: Identificazione sparsa di sistemi dinamici da dati, 2018