Decay of solutions in nonhomogeneous thermoelastic diffusion bars

被引：2

作者：

Boulehmi, Kaouther ^{[1
]}

Aouadi, Moncef ^{[2
]}

机构：

[1] Univ Carthage, Dept Math, Fac Sci Bizerte, Carthage, Tunisia

[2] Univ Carthage, Dept Math, Inst Super Sci Appl & Technol Mateur, Carthage, Tunisia

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 02期

关键词：

thermoelastic diffusion; nonhomogeneous; well-posedness; exponential stability; polynomial stability; impossibility of localization in time; Primary; 35B35; Secondary; 35B40; EXPONENTIAL STABILITY; STABILIZATION; EQUATIONS; SYSTEM; MODEL;

D O I：

10.1080/00036811.2013.769133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonhomogeneous thermoelastic diffusion system in one space dimension where the coefficients are space-dependent. For Dirichlet, Neumann- and Robin-type boundary conditions the existence and uniqueness of solutions is proved by means of a strongly continuous semigroup of bounded operators associated to the system. Then, the exponential and polynomial decay of the solutions is discussed. We conclude by showing the impossibility of localization in time of the solutions.

引用

页码：281 / 304

页数：24

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