MATHMOD 2022 Discussion Contributions

Stabilization of the wave equation in port-Hamiltonian modelling

ARGESIM Report 17 (ISBN 978-3-901608-95-7), p 91-92, DOI: 10.11128/arep.17.a17205

Abstract

We investigate the stability of the wave equation with spatial dependent coefficients on a bounded multidimensional domain. The system is stabilized via a scattering passive feedback law. We formulate the wave equation in a port-Hamiltonian fashion and show that the system is semi-uniformly stable.