Energy decay in a transmission problem in thermoelasticity of type III

被引：26

作者：

Messaoudi, Salim A. ^{[1
]}

Said-Houari, Belkacem ^{[2
,3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

[2] Univ Toulouse 3, Inst Math Toulouse Math Ind & Phys, F-31062 Toulouse 09, France

[3] Univ Badji Mokhtar, Dept Math, Annaba 23000, Algeria

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2009年 / 74卷 / 03期

关键词：

thermoelasticity; energy decay; transmission problem; BOUNDARY STABILIZATION; EXPONENTIAL STABILITY;

D O I：

10.1093/imamat/hxp020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a 1D linear thermoelastic transmission problem, where the heat conduction is described by the theories of Green and Naghdi. By using the energy method, we prove that the thermal effect is strong enough to produce an exponential stability of the solution, no matter how small the action domain is.

引用

页码：344 / 360

页数：17

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