Frequency-dependent damping in the linear wave equation
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912260706795520 |
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| author | Maddalena, Francesco Orlando, Gianluca |
| author_facet | Maddalena, Francesco Orlando, Gianluca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frequency-dependent damping in the linear wave equation Maddalena, Francesco Orlando, Gianluca Analysis of PDEs 35L05, 35L20, 35B40 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. |
| title | Frequency-dependent damping in the linear wave equation |
| topic | Analysis of PDEs 35L05, 35L20, 35B40 |
| url | https://arxiv.org/abs/2503.03630 |