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arXiv · 1911.06715

On Polynomial Stability of Coupled Partial Differential Equations in 1D

Lassi Paunonen
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Abstract

We study the well-posedness and asymptotic behaviour of selected PDE-PDE and PDE-ODE systems on one-dimensional spatial domains, namely a boundary coupled wave-heat system and a wave equation with a dynamic boundary condition. We prove well-posedness of the models and derive rational decay rates for the energy using an approach where the coupled systems are formulated as feedback interconnections of impedance passive regular linear systems.

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Lassi Paunonen. 2019-11-15. On Polynomial Stability of Coupled Partial Differential Equations in 1D. https://doi.org/10.1007/978-3-030-46079-2_20

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