Exponential decay in a thermoelastic mixture of solids

被引：50

作者：

Alves, M. S. ^{[2
]}

Munoz Rivera, J. E. ^{[3
]}

Quintanilla, R. ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 2, Barcelona 08222, Spain

[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

[3] LNCC, BR-25651075 Petropolis, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2009年 / 46卷 / 7-8期

关键词：

Thermoelastic mixtures; Exponential decay; Weakly coupled system; ELASTIC-MATERIALS; SEMIGROUPS; VOIDS;

D O I：

10.1016/j.ijsolstr.2008.12.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we investigate the asymptotic behaviour Of Solutions to the initial boundary value problem for a one-dimensional mixture of thermoelastic solids. Our main result is to establish a necessary and sufficient condition over the coefficients of the system to get the exponential stability of the corresponding semigroup. We also prove the impossibility of time localization of solutions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1659 / 1666

页数：8

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