Conference abstracts

Session B1 - Computational Dynamics

July 14, 16:00 ~ 16:30

Spectral stability for the wave equation with periodic forcing

Hans Koch

The University of Texas at Austin, USA   -   koch@math.utexas.edu

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).

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