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.
引用
收藏
页码：37 / 49
页数：13
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