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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 type: Research Grants - Visiting Researcher Grant - Brazil