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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.07997 |
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| _version_ | 1866929312005881856 |
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| author | Issa, Ibtissam Soufyane, Abdelaziz Villagran, Octavio Vera |
| author_facet | Issa, Ibtissam Soufyane, Abdelaziz Villagran, Octavio Vera |
| contents | In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stability result that is dependent on the order of the fractional derivative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07997 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law Issa, Ibtissam Soufyane, Abdelaziz Villagran, Octavio Vera Analysis of PDEs In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stability result that is dependent on the order of the fractional derivative. |
| title | Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.07997 |