On the Stability of a Thermoelastic Laminated Beam

被引：46
作者：
Apalara, Tijani A. [1 ]
机构：
[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia
来源：
ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 06期
关键词：
laminated beam; interfacial slip; thermoelasticity; exponential stability; EXPONENTIAL STABILIZATION; DECAY;
D O I：
10.1007/s10473-019-0604-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider a one-dimensional laminated beam system. The only dissipation in the system is through heat conduction in the interfacial slip equation. We prove that this unique dissipation is strong enough to exponentially stabilize the system provided the wave speeds of the system are equal. This result extends previous works where additional internal or boundary controls were used together with a frictional damping in the interfacial slip.
引用
收藏
页码：1517 / 1524
页数：8
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