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Título : Smooth dynamics of a Timoshenko system with hybrid dissipation
Autor : Yuming Qin
Muñoz Rivera, Jaime E.
Ma To Fu
metadata.dc.contributor.affiliation: Donghua University, Department of Mathematics
National Laboratory of Scientific Computing
University of Bío-Bío, Department of Mathematics
University of Brasília, Department of Mathematics
Assunto:: Viga Timoshenko
Atratores globais
Termoelasticidade
Fecha de publicación : 2023
Editorial : IOS Press
Citación : YUMING QIN; MUÑOZ RIVERA, Jaime E.; MA TO FU. Smooth dynamics of a Timoshenko system with hybrid dissipation. Asymptotic Analysis, [S. l.],v. 131, n. 1, p. 109-123, 2023. DOI: 10.3233/ASY-221768.
Abstract: In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams with history in a nonlinear elastic foundation. Our main result establishes the existence of a global attractor with finite fractal dimension without requiring the so-called equal wave speeds assumption. In addition, the attractor belongs to the phase space of strong solutions. The results are based on properties of gradient systems and a concept of quasi-stability. We believe this is the first study on the existence of global attractors for semilinear Timoshenko systems with hybrid dissipation (heat and memory).
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Matemática (IE MAT)
DOI: 10.3233/ASY-221768
metadata.dc.relation.publisherversion: https://content.iospress.com/articles/asymptotic-analysis/asy221768
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