Long-time behavior of a class of thermoelastic plates with nonlinear strain

Autor(es)

Fatori, L. H. ^[1] ; Jorge Silva, M. A. ^[1] ; Ma, T. F. ^[2] ; Yang, Zhijian ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, PR - Brazil

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

^[3] Zhengzhou Univ, Dept Math, Zhengzhou 450001 - Peoples R China

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 259, n. 9, p. 4831-4862, NOV 5 2015.
• Citações Web of Science: 8

Resumo

In recent years a class of vibrating plates with nonlinear strain of p-Laplacian type was studied by several authors. The present paper contains a first thermoelastic model of that class of problems including both Fourier and non-Fourier heat laws. Our main result establishes the existence of global and exponential attractors for the strongly damped problem through a stabilizability inequality. In addition, for the weakly damped problem, we establish the exponential stability of its Galerkin semiflows. (C) 2015 Elsevier Inc. All tights reserved. (AU)

• Processo FAPESP: 13/07039-0 - Termoelasticidade hiperbólica não autônoma
• Beneficiário: Ma To Fu
• Linha de fomento: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 12/24266-7 - Termoelasticidade do tipo hiperbólico: novas tendências e dinâmica assintótica
• Beneficiário: Ma To Fu
• Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Brasil