Palestras e Seminários
08/04/2025
13:00
Palestrante: Emanuele Pastorino
https://sites.google.com/usp.br/evol-eq-and-dyn-systems/in%C3%ADcio
Modo: À distância
Resumo: We consider a nonlinear nonlocal coupled system of beam-wave equations, governing the dynamics of a degenerate plate modeling the behavior of suspension bridges. In line with the physical observations, the beam equation is both damped and forced, whereas the wave equation is “isolated”. Since the resulting overall damping is degenerate, the full dynamical system is only partially dissipative. This leads to an unpredictable behavior for the solutions of the system, which prevents to forecast the general behavior of bridges, encompassing the instability of the unique stationary solution and the richness of the ω-limit set, which contains infinitely many periodic solutions. We also discuss some striking differences between the sole beam equation and the coupled system, which may be the cause of some not fully understood paradoxes and erroneous conclusions. The talk is based on joint work with Maurizio Garrione and Filippo Gazzola (Politecnico di Milano).
Mais informações:
site do evento
