New stability result for bresse system with dual-phase-lag thermoelasticity

被引：0
作者：
Bouraoui, Hamed Abderrahmane [1 ]
Djebabla, Abdelhak [2 ]
El Arwadi, Toufic [3 ]
机构：
[1] Badji Mokhtar Univ, Numer Anal Optimizat & Stat Lab, Annaba, Algeria
[2] Badji Mokhtar Univ, Lab Math Dynam & Modelizat, Annaba, Algeria
[3] Beirut Arab Univ, Fac Sci, Dept Math & Comp Sci, Debbieh, Lebanon
来源：
APPLICABLE ANALYSIS | 2024年 / 103卷 / 16期
关键词：
Stability; bresse system; energy method; thermoelasticity; dual-phase-lag; ASYMPTOTIC STABILITY; DECAY;
D O I：
10.1080/00036811.2024.2332400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the study of the time decay of the one-dimensional thermoelastic Bresse system where the dual-phase-lag heat conduction theory is used to model the heat transfer. In this theory, two relaxation parameters tau(q) and tau(theta) are proposed. By using the multplier method, we prove that the system is dissipative if 2 tau(theta )> tau(q) and exponentially stable by introducing a new stability number chi(1). This result substantially improves earlier results in the literature.
引用
收藏
页码：3049 / 3066
页数：18
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