Frequency-dependent damping in the linear wave equation
Analysis of PDEs
2025-03-06 v1
Abstract
We propose a model for frequency-dependent damping in the linear wave equation. After proving well-posedness of the problem, we study qualitative properties of the energy. In the one-dimensional case, we provide an explicit analysis for special choices of the damping operator. Finally, we show, in special cases, that solutions split into a dissipative and a conservative part.
Cite
@article{arxiv.2503.03630,
title = {Frequency-dependent damping in the linear wave equation},
author = {Francesco Maddalena and Gianluca Orlando},
journal= {arXiv preprint arXiv:2503.03630},
year = {2025}
}