A lower bound for the energy decay rate in piezoelectricity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909461156724736 |
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| author | Le, Khanh Chau |
| author_facet | Le, Khanh Chau |
| contents | This paper establishes a lower bound for the energy decay rate in piezoelectric cylinders. The bound incorporates material properties and geometric factors, including the cross-section's Poincaré-Wirtinger and Korn constants. A detailed analysis of a circular cross-section cylinder yields a precise numerical lower bound, illustrating the practical application of this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11227 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A lower bound for the energy decay rate in piezoelectricity Le, Khanh Chau Classical Physics This paper establishes a lower bound for the energy decay rate in piezoelectric cylinders. The bound incorporates material properties and geometric factors, including the cross-section's Poincaré-Wirtinger and Korn constants. A detailed analysis of a circular cross-section cylinder yields a precise numerical lower bound, illustrating the practical application of this result. |
| title | A lower bound for the energy decay rate in piezoelectricity |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2501.11227 |