ON THE DECAY OF THE ENERGY FOR LINEAR THERMOELASTIC SYSTEMS BY THERMAL AND MICRO-TEMPERATURE EFFECTS

被引：8

作者：

Hachelfi, M. ^{[1
]}

Djebabla, A. ^{[1
]}

Tatar, N. ^{[2
]}

机构：

[1] Univ Badji Mokhtar, Lab Appl Math, POB 12, Annaba 23000, Algeria

[2] Nasser Eddine Tatar King Fahd Univ Petr & Mineral, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2018年 / 6卷 / 04期

关键词：

exponential decay; porous system; thermal effect; micro-temperature damping;

D O I：

10.32523/2306-6172-2018-6-4-29-37

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a system formed by four partial differential equations: Two hyperbolic equations coupled with two parabolic equations involving the difference in temperature and the microtemperature. This system appears in porous thermoelasticity. Using the energy method, we prove the exponential decay for the energy.

引用

页码：29 / 37

页数：9

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