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Smooth dynamics of a Timoshenko system with hybrid dissipation

Indexado

WoS	WOS:000892352300005
Scopus	SCOPUS_ID:85145771617

DOI

10.3233/ASY-221768

Año

2023

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

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).

Revista

Revista	ISSN
Asymptotic Analysis	0921-7134

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Applied

Scopus
Mathematics (All)

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Qin, Yuming	-	Donghua University - China Donghua Univ - China
2	MUNOZ-RIVERA, JAIME EDILBERTO	Hombre	Laboratorio Nacional de Computacao Cientifica, Petropolis - Brasil Universidad del Bío Bío - Chile Natl Lab Sci Comp LNCC - Brasil
3	Ma, To Fu	-	Universidade de Brasília - Brasil Univ Brasilia - Brasil

Muestra la afiliación y género (detectado) para los co-autores de la publicación.

Financiamiento

Fuente
National Natural Science Foundation of China
CNPq
FAPESP
Fundamental Research Funds for the Central Universities
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Fundação de Amparo à Pesquisa do Estado de São Paulo
NNSF of China
Fundamental Research Fund for the Central Universities

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
Y. Qin was partially supported by the NNSF of China with contract number 12171082 and by the Fundamental Research Fund for the Central Universities with contract number 2232022G-13. J.E. Muñoz Rivera was partially supported by CNPq grant 310249/2018-0. T.F. Ma was partially supported by CNPq grant 315165/2021-9 and Fapesp grant 2019/11824-0. The authors thank the referee for his/hers remarks on a previous version of this paper. The authors thank Professor M.A. Jorge Silva for interesting conversations on Timoshenko systems with hybrid dissipation.
Y. Qin was partially supported by the NNSF of China with contract number 12171082 and by the Fundamental Research Fund for the Central Universities with contract number 2232022G-13. J.E. Munoz Rivera was partially supported by CNPq grant 310249/2018-0. T.F. Ma was partially supported by CNPq grant 315165/2021-9 and Fapesp grant 2019/11824-0. The authors thank the referee for his/hers remarks on a previous version of this paper. The authors thank Professor M.A. Jorge Silva for interesting conversations on Timoshenko systems with hybrid dissipation.

Agradecimiento

Y. Qin was partially supported by the NNSF of China with contract number 12171082 and by the Fundamental Research Fund for the Central Universities with contract number 2232022G-13. J.E. Muñoz Rivera was partially supported by CNPq grant 310249/2018-0. T.F. Ma was partially supported by CNPq grant 315165/2021-9 and Fapesp grant 2019/11824-0. The authors thank the referee for his/hers remarks on a previous version of this paper. The authors thank Professor M.A. Jorge Silva for interesting conversations on Timoshenko systems with hybrid dissipation.

Y. Qin was partially supported by the NNSF of China with contract number 12171082 and by the Fundamental Research Fund for the Central Universities with contract number 2232022G-13. J.E. Munoz Rivera was partially supported by CNPq grant 310249/2018-0. T.F. Ma was partially supported by CNPq grant 315165/2021-9 and Fapesp grant 2019/11824-0. The authors thank the referee for his/hers remarks on a previous version of this paper. The authors thank Professor M.A. Jorge Silva for interesting conversations on Timoshenko systems with hybrid dissipation.