STABILIZATION IN THREE-DIMENSIONAL POROUS THERMOVISCOELASTIC MIXTURES

被引：10

作者：

Alves, Margareth S. ^{[1
]}

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

Sepulveda, Mauricio ^{[3
]}

Vera Villagran, Octavio ^{[4
]}

机构：

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

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

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

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

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 01期

关键词：

EXPONENTIAL DECAY; SEMIGROUPS;

D O I：

10.1093/qmath/har029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the asymptotic behavior of solutions to the initial boundary value problem for a theory of porous thermoviscoelastic mixtures. Our main result is to establish conditions that ensure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions over the coefficients, we obtain the lack of exponential stability.

引用

页码：37 / 57

页数：21

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