Smooth dynamics of a Timoshenko system with hybrid dissipation

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Autor(es): dc.contributorDonghua University, Department of Mathematics-
Autor(es): dc.contributorNational Laboratory of Scientific Computing-
Autor(es): dc.contributorUniversity of Bío-Bío, Department of Mathematics-
Autor(es): dc.contributorUniversity of Brasília, Department of Mathematics-
Autor(es): dc.creatorYuming Qin-
Autor(es): dc.creatorMuñoz Rivera, Jaime E.-
Autor(es): dc.creatorMa To Fu-
Data de aceite: dc.date.accessioned2024-07-22T11:29:01Z-
Data de disponibilização: dc.date.available2024-07-22T11:29:01Z-
Data de envio: dc.date.issued2024-02-07-
Data de envio: dc.date.issued2024-02-07-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttp://repositorio2.unb.br/jspui/handle/10482/47706-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/781494-
Descrição: dc.descriptionIn 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).-
Descrição: dc.descriptionInstituto de Ciências Exatas (IE)-
Descrição: dc.descriptionDepartamento de Matemática (IE MAT)-
Idioma: dc.languageen-
Publicador: dc.publisherIOS Press-
Relação: dc.relationhttps://content.iospress.com/articles/asymptotic-analysis/asy221768-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectViga Timoshenko-
Palavras-chave: dc.subjectAtratores globais-
Palavras-chave: dc.subjectTermoelasticidade-
Título: dc.titleSmooth dynamics of a Timoshenko system with hybrid dissipation-
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