Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping

Fredy Maglorio Sobrado Suárez; Gilson Tumelero; Jackson Luchesi; Marieli Musial Tumelero; Santos Richard Wieller Sanguino Bejarano

arXiv · 2510.09865

Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping

Fredy Maglorio Sobrado Suárez·Gilson Tumelero·Jackson Luchesi·Marieli Musial Tumelero·Santos Richard Wieller Sanguino Bejarano

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Abstract

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 $(-\partial_{xx})^\alpha v_t$ and $(-\partial_{xx})^\beta z_t$ 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 $(\alpha, \beta) \in [0, 1]^2$. As a consequence of this, a result on the analyticity of a Timoshenko System is obtained.

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Fredy Maglorio Sobrado Suárez, Gilson Tumelero, Jackson Luchesi, Marieli Musial Tumelero, Santos Richard Wieller Sanguino Bejarano. 2025-10-10. Analyticity for Double Wall Carbon Nanotubes Modeled as Timoshenko Beams with Kelvin-Voigt and Intermediate Damping. https://arxiv.org/abs/2510.09865

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