Session B1 - Computational Dynamics
July 14, 16:00 ~ 16:30
Spectral stability for the wave equation with periodic forcing
The University of Texas at Austin, USA - firstname.lastname@example.org
We consider the spectral stability problem for Floquet-type sytems such as the wave equation with periodic forcing. Our approach is based on a comparison with finite-dimensional approximations. Specific results are obtained for a system where the forcing is due to a coupling between the wave equation and a time-period solution of a nonlinear beam equation. We prove (spectral) stability for some period and instability for another. The finite-dimensional approximations are controlled via computer-assisted estimates.
Joint work with Gianni Arioli (Politecnico di Milano, Italy).