Polynomial stability of a coupled wave-heat network
Analysis of PDEs
2025-04-01 v2 Functional Analysis
Abstract
We study the long-time asymptotic behaviour of a topologically non-trivial network of wave and heat equations. By analysing the simpler wave and the heat networks separately, and then applying recent results for abstract coupled systems, we establish energy decay at the rate as for all classical solutions.
Cite
@article{arxiv.2407.03252,
title = {Polynomial stability of a coupled wave-heat network},
author = {Lassi Paunonen and David Seifert},
journal= {arXiv preprint arXiv:2407.03252},
year = {2025}
}