Title:	Smooth dynamics of a Timoshenko system with hybrid dissipation
Authors:	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
Issue Date:	2023
Publisher:	IOS Press
Citation:	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
Appears in Collections:	Artigos publicados em periódicos e afins

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