The Gevrey class of the Euler-Bernoulli beam model with singularities
Year: 2026
Type: article
Abstract: We study the Euler-Bernoulli beam model with singularities at the points x = ξ 1 , x = ξ 2 and with localized viscoelastic dissipation of Kelvin-Voigt type. We assume that the beam is composed by two materials; one is an elastic material and the other one is a viscoelastic material of Kelvin-Voigt type. Our main result is that the corresponding semigroup is immediately differentiable and also of Gevrey class 4. In particular, our result implies that the model is exponentially stable, has the linear stability property, and the smoothing effect property over the initial data.
Institution: University of Brescia
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Conselho Nacional de Desenvolvimento Científico e Tecnológico, Gruppo Nazionale per la Fisica Matematica, Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica, Fondo Nacional de Desarrollo Científico y Tecnológico
Awards: G1923777193, G2747141088, G7150286874
OpenAlex ID: W7123667556