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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