Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917004647071744 |
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| author | Suárez, Fredy Maglorio Sobrado Tumelero, Gilson Luchesi, Jackson Tumelero, Marieli Musial Bejarano, Santos Richard Wieller Sanguino |
| author_facet | Suárez, Fredy Maglorio Sobrado Tumelero, Gilson Luchesi, Jackson Tumelero, Marieli Musial Bejarano, Santos Richard Wieller Sanguino |
| contents | This manuscript studies a model of double-walled carbon nanotubes using two Timoshenko beams which are coupled by the Van der Walls force $(y-u)$. Kelvin-Voigt type dampings $(u_x-v)_{xt}$ and $(y_x-z)_{xt}$ and fractional dampings $(-\partial_{xx})^αv_t$ and $(-\partial_{xx})^βz_t$ in both beams have been considered. We show that our proposed model is well established and that the semigroup associated is exponentially stable and analytical for any $(α, β) \in [0, 1]^2$. As a consequence of this, a result on the analyticity of a Timoshenko System is obtained. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_09865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping Suárez, Fredy Maglorio Sobrado Tumelero, Gilson Luchesi, Jackson Tumelero, Marieli Musial Bejarano, Santos Richard Wieller Sanguino Analysis of PDEs 35L55, 93D15 This manuscript studies a model of double-walled carbon nanotubes using two Timoshenko beams which are coupled by the Van der Walls force $(y-u)$. Kelvin-Voigt type dampings $(u_x-v)_{xt}$ and $(y_x-z)_{xt}$ and fractional dampings $(-\partial_{xx})^αv_t$ and $(-\partial_{xx})^βz_t$ in both beams have been considered. We show that our proposed model is well established and that the semigroup associated is exponentially stable and analytical for any $(α, β) \in [0, 1]^2$. As a consequence of this, a result on the analyticity of a Timoshenko System is obtained. |
| title | Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping |
| topic | Analysis of PDEs 35L55, 93D15 |
| url | https://arxiv.org/abs/2510.09865 |