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

Aguiar Barbosa, Alisson Rafael; Ma, To Fu

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Aguiar Barbosa, Alisson Rafael ^[1] ; Ma, To Fu ^[2] Total Authors: 2
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 416, n. 1, p. 143-165, AUG 1 2014.
Web of Science Citations:	18
Abstract
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)

FAPESP's process:	12/24266-7 - Thermoelasticity of hyperbolic type: new trends and assymtotic dynamics
Grantee:	Ma To Fu
Support Opportunities:	Research Grants - Visiting Researcher Grant - Brazil

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