Seminario / Montalto
Lunedi 12 Novembre - ore 13:30 - SALA RAPPRESENTANZA
terrá un seminario dal titolo
Quasi-periodic solutions of water waves.
Tutti gli interessati sono invitati a partecipare. Segue abstract.
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In this talk I will present some recent results concerning the existence and the stability of quasi-periodic solutions for the 2D-Euler equation of an irrotational and incompressible fluid under the action of the gravity. After an overview on the KAM theory for PDEs, I will discuss the tools needed in order to prove KAM theory for PDEs with quasi-linear and fully-nonlinear nonlinearities. The proof is obtained by combining perturbation theory (which comes from the world of Dynamical systems) and Pseudo differential calculus (which comes the world of microlocal analysis).