Uniform decay of energy for a porous thermoelasticity system with past history

被引：29
|
作者：
Feng, Baowei [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Fac Econ Math, Chengdu, Sichuan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2018年 / 97卷 / 02期
关键词：
Timoshenko system; exponential decay; polynomial decay; past history; TIMOSHENKO SYSTEMS; EXPONENTIAL STABILITY; BOUNDARY CONTROL; GENERAL DECAY; MEMORY; STABILIZATION; EXISTENCE; BEHAVIOR;
D O I：
10.1080/00036811.2016.1258116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a one-dimensional porous thermoelasticity system with past history, which contains a porous elasticity in the presence of a visco-porous dissipation, a macrotemperature effect and temperature difference. We establish the exponential stability of the system if and only if the equations have the same wave speeds, and obtain the energy decays polynomially to zero in the case that the wave speeds of the equations are different.
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页码：210 / 229
页数：20
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