Exponential stability in one-dimensional non-linear thermoelasticity with second sound

被引：45
作者：
Messaoudi, SA [1 ]
Said-Houari, B
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
[2] Univ Badji Mokhtar, Dept Math, Annaba 23000, Algeria
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2005年 / 28卷 / 02期
关键词：
non-linear; thermoelasticity; second sound; second law of thermodynamics; exponential decay;
D O I：
10.1002/mma.556
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 non-linear system of thermoelasticity with second sound. We establish an exponential decay result for solutions with small 'enough' initial data. This work extends the result of Racke (Math. Methods Appl. Sci. 2002; 25:409-441) to a more general situation. Copyright (c) 2004 John Wiley & Sons, Ltd.
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收藏
页码：205 / 232
页数：28
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