Long-time dynamics of an extensible plate equation with thermal memory

Autor(es)

Aguiar Barbosa, Alisson Rafael ^[1] ; Ma, To Fu ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Triangulo Mineiro, Inst Ciencias Tecnol & Exatas, BR-38025180 Uberaba, MG - Brazil

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 416, n. 1, p. 143-165, AUG 1 2014.
• Citações Web of Science: 18

Resumo

This work is concerned with long-time dynamics of solutions of extensible plate equations with thermal memory. The problem corresponds to a model of thermoelasticity based on a theory of non-Fourier heat flux. By considering the case where rotational inertia is present we show that the thermal dissipation is sufficient to stabilize the system and guarantees the existence of a finite-dimensional global attractor. In addition, the existence of exponential attractors is also considered. (C) 2014 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 12/24266-7 - Termoelasticidade do tipo hiperbólico: novas tendências e dinâmica assintótica
• Beneficiário: Ma To Fu
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil