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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:416

Article

Aguiar Barbosa, Alisson Rafael¹  Ma, To Fu² 

[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

关键词: Plate equation;    Global attractors;    Thermoelasticity;    Memory;   

DOI  :  10.1016/j.jmaa.2014.02.042

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free