17 Marzo, 2022 12:15 in punto
Sezione di Analisi
Some results and open problems in Hamiltonian PDEs
Filippo Giuliani, Politecnico di Milano (nuovo rtd-b del DMAT)
!! CAMBIO D'ORARIO !! Aula Seminari MOX VI Piano, 12:15-13:15
Abstract
We present some recent results concerning the dynamics of Hamiltonian partial differential equations on compact manifolds, especially fluid dynamics models. We talk about both stability and instability issues, like the existence of quasi-periodic in time solutions and transfers of energy between Fourier modes of solutions of nonlinear PDEs.
We also discuss some open problems and possible new research directions.