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

被引：66

作者：

Aguiar Barbosa, Alisson Rafael ^{[1
]}

Ma, To Fu ^{[2
]}

机构：

[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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 416卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Plate equation; Global attractors; Thermoelasticity; Memory; ASYMPTOTIC STABILITY; GLOBAL ATTRACTORS; HEAT-CONDUCTION; ENERGY DECAY; BEHAVIOR; BEAM; SYSTEMS; MODEL;

D O I：

10.1016/j.jmaa.2014.02.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：143 / 165

页数：23

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