Stabilization in elastic solids with voids

被引：82
|
作者：
Pamplona, Paulo Xavier [2 ]
Munoz Rivera, Jaime E. [2 ]
Quintanilla, Ramon [1 ]
机构：
[1] UPC, Barcelona 08222, Spain
[2] MCT, LNCC, Natl Lab Sci Computat, BR-25651070 Quitandinha, Petropolis, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 350卷 / 01期
关键词：
Polynomial stability; Exponential stability; Analiticity; EXPONENTIAL DECAY; TIME DECAY; STABILITY;
D O I：
10.1016/j.jmaa.2008.09.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the asymptotic behavior and the analyticity of the solutions of the one-dimensional porous-elasticity problem with thermal effect. Our main result is to prove the lack of exponential stability in case of the porous-elasticity with thermal effect when viscoelasticity is present. We prove the analyticity, of the problem when a porous viscosity is present. We Conclude by showing the impossibility of localization in time of the solutions in the isothermal case. (c) 2008 Elsevier Inc. All rights reserved.
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页码：37 / 49
页数：13
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