Existence and energy decay of a Bresse system with thermoelasticity of type III

被引：3
作者：
Djellali, F. [1 ]
Labidi, S. [2 ]
Taallah, F. [1 ]
机构：
[1] Badji Mokhtar Univ, Math Modeling & Numer Simulat Lab, POB 12, Annaba 23000, Algeria
[2] Badji Mokhtar Univ, Lab Appl Math, POB 12, Annaba 23000, Algeria
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 01期
关键词：
Bresse system; thermoelasticity of type III; general decay; Lyapunov functional; ASYMPTOTIC STABILITY;
D O I：
10.1007/s00033-021-01641-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a one-dimensional thermoelastic Bresse system, where the heat conduction is given by Green and Naghdi theories. Under some assumptions on the memory kernel and a new introduced stability number, we prove that the unique damping given by the memory term is sufficiently strong to stabilize the system exponentially. In fact, we establish a general decay result from which the exponential and polynomial decays are only special cases.
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页数：25
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