Exponential stability in thermoviscoelastic mixtures of solids

被引：33

作者：

Alves, M. S. ^{[1
]}

Munoz Rivera, J. E. ^{[2
]}

Sepulveda, M. ^{[3
]}

Villagran, O. V. ^{[4
]}

机构：

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

[2] Natl Lab Sci Computat, BR-25651070 Rio De Janeiro, Brazil

[3] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[4] Univ Bio Bio, Dept Matemat, Concepcion, Chile

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2009年 / 46卷 / 24期

关键词：

Thermoviscoelastic mixtures; C-0-semigroup; Exponential stability; Coupled system; DECAY; SEMIGROUPS;

D O I：

10.1016/j.ijsolstr.2009.07.026

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4151 / 4162

页数：12

共 22 条

[1] Exponential decay in a thermoelastic mixture of solids [J].

Alves, M. S. ;

Munoz Rivera, J. E. ;

Quintanilla, R. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2009, 46 (7-8) :1659-1666

[2] Analyticity of Semigroups Associated with Thermoviscoelastic Mixtures of Solids [J].

Alves, Margareth S. ;

Munoz Rivera, Jaime E. ;

Sepulveda, Mauricio ;

Vera Villagran, Octavio P. .

JOURNAL OF THERMAL STRESSES, 2009, 32 (10) :986-1004

[3]

[Anonymous], 1960, CLASSICAL FIELD THEO

[4] CONTINUUM THEORIES OF MIXTURES - BASIC THEORY AND HISTORICAL DEVELOPMENT [J].

ATKIN, RJ ;

CRAINE, RE .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1976, 29 (MAY) :209-244

[5] MULTI-CONTINUUM THEORY FOR COMPOSITE ELASTIC-MATERIALS [J].

BEDFORD, A ;

STERN, M .

ACTA MECHANICA, 1972, 14 (2-3) :85-&

[6] THEORIES OF IMMISCIBLE AND STRUCTURED MIXTURES [J].

BEDFORD, A ;

DRUMHELLER, DS .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1983, 21 (08) :863-960

[7] DIFFUSION IN MIXTURES OF ELASTIC MATERIALS [J].

BOWEN, RM ;

WIESE, JC .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1969, 7 (07) :689-&

[8]

BOWEN RM, 1976, CONTINUUM PHYS, V3, P689

[9] SPECTRAL THEORY FOR CONTRACTION SEMIGROUPS ON HILBERT-SPACE [J].

GEARHART, L .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 236 (FEB) :385-394

[10]

Green A.E., 1965, International Journal of Engineering Science, V3, P231, DOI DOI 10.1016/0020-7225(65)90046-7

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