Care tutte, cari tutti, Con la presente si annuncia il seguente seminario di Analisi: Giovedì 8 ottobre 2026, alle 16:00, in Aula Seminari, avremo il piacere di ascoltare Beatrice Langella (Università di Pisa), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6aa7d2b4d052f347a9f0148a> dal titolo “Transfer of energy for pure-gravity water waves with constant vorticity”. Trovate l'abstract qui sotto. A presto, Luigi. ————————————————— Dear all, We announce the following Analysis seminar: on Thursday, 08 October 2026, 4pm, in Aula Seminari, we will have the pleasure of listening to Beatrice Langella (Univ. of Pisa). The title of the talk<https://www.dm.unipi.it/seminario/?id=6aa7d2b4d052f347a9f0148a> is “Transfer of energy for pure-gravity water waves with constant vorticity”. Please find the abstract below. Best regards, Luigi ----------------------------------- Speaker: Beatrice Langella (University of Pisa) Title: Transfer of energy for pure-gravity water waves with constant vorticity Abstract: Water waves equations describe the time evolution of an incompressible fluid evolving according to Euler equation, in presence of free boundary. In this talk we consider water waves equations in the two-dimensional periodic setting, in presence of gravity, constant nonzero vorticity and infinite depth. Under suitable resonance assumptions on the value of the vorticity, we show that this system admits smooth small-amplitude solutions whose high Sobolev norms undergo arbitrary large growth, whereas their lower Sobolev norms remain small, thereby exhibiting a genuine transfer of energy toward high frequencies. This yields the first rigorous construction of weakly turbulent solutions for a quasilinear hydrodynamic wave system, in a regime where the flow remains smooth. Moreover, the growth occurs simultaneously in the free surface and in the vertical component of the velocity at the interface, showing that the instability involves the full hydrodynamic evolution. The proof relies on a new mechanism for generating energy cascades in quasilinear dispersive PDEs with sublinear dispersion and a nonlinear transport structure. This talk is based on a joint work with A. Maspero, F. Murgante and S. Terracina. ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html