STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY

被引：0
作者：
Deng, Chenxi [1 ]
Han, Zhong-Jie [2 ]
Kuang, Zhaobin [3 ]
Zhang, Qiong [1 ,4 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Tianjin Univ, Sch Math, BIIT Lab, Tianjin 300354, Peoples R China
[3] Stanford Univ, Comp Sci Dept, Stanford, CA 94305 USA
[4] Beijing Key Lab MCAACI, Beijing 100081, Peoples R China
来源：
MATHEMATICAL CONTROL AND RELATED FIELDS | 2024年
基金：
中国国家自然科学基金;
关键词：
Thermoelastic system; stability; inertial term; singularity; EXPONENTIAL STABILITY; DECAY;
D O I：
10.3934/mcrf.2024040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze an abstract thermoelastic system, where the heat conduction follows the Cattaneo law. Zero becomes a spectrum point of the system operator when the coupling and thermal damping parameters of system satisfy specific conditions. We obtain the decay rates of solutions to the system with or without the inertial term. Furthermore, the decay rate of the system without inertial terms is shown to be optimal.
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页码：772 / 785
页数：14
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