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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