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arXiv · 2503.03630

Frequency-dependent damping in the linear wave equation

Francesco Maddalena·Gianluca Orlando
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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.

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Francesco Maddalena, Gianluca Orlando. 2025-03-05. Frequency-dependent damping in the linear wave equation. https://arxiv.org/abs/2503.03630

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