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.
Frequency-dependent damping in the linear wave equation / Maddalena, Francesco; Orlando, Gianluca. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - STAMPA. - 20:2(2025), pp. 406-427. [10.3934/nhm.2025019]
Frequency-dependent damping in the linear wave equation
Francesco Maddalena;Gianluca Orlando
2025
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.File in questo prodotto:
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