I am assistant professor ( ricercatore di tipo B) at Politecnico di Milano.
Formerly, I was a PhD student at SISSA (Trieste) and postdoc at Università di Roma Tre and Universidad Politecnica de Catalunya (UPC) in Barcelona.
I am interested in the study of dynamics of partial differential equations.
My research topics are:
KAM for PDEs: results of existence and stability of time quasi-periodic solutions for quasi-linear PDEs on tori.
Study of long-time dynamics of nonlinear PDEs through normal form methods.
Reducibility of quasi-periodically time-dependent unbounded linear operators on tori.
Growth of Sobolev norms and transfers of energy for PDEs on compact manifolds.
Arnold diffusion for infinite dimensional dynamical systems.
CONTACT
office 528, fifth floor.
filippo (dot) giuliani (at) polimi (dot) it
fgiuliani35 (at) gmail (dot) com
ADDRESS
Dipartimento di Matematica
Politecnico di Milano
Campus Bonardi, Edificio Nave
Piazza Leonardo Da Vinci 32
20133 Milano
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