STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY

Chenxi Deng; Zhong Jie Han; Zhaobin Kuang; Qiong Zhang

doi:10.3934/mcrf.2024040

STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY

Chenxi Deng
, Zhong Jie Han
, Zhaobin Kuang
, Qiong Zhang^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology
Tianjin University
Stanford University

科研成果: 期刊稿件 › 文章 › 同行评审

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.

源语言	英语
页（从-至）	772-785
页数	14
期刊	Mathematical Control and Related Fields
卷	15
期	2
DOI	https://doi.org/10.3934/mcrf.2024040
出版状态	已出版 - 6月 2025

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10.3934/mcrf.2024040

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title = "STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY",

abstract = "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.",

keywords = "Thermoelastic system, inertial term, singularity, stability",

author = "Chenxi Deng and Han, \{Zhong Jie\} and Zhaobin Kuang and Qiong Zhang",

year = "2025",

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doi = "10.3934/mcrf.2024040",

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AU - Deng, Chenxi

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AU - Kuang, Zhaobin

AU - Zhang, Qiong

PY - 2025/6

Y1 - 2025/6

N2 - 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.

AB - 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.

KW - Thermoelastic system

KW - inertial term

KW - singularity

KW - stability

UR - https://www.scopus.com/pages/publications/85216313383

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DO - 10.3934/mcrf.2024040

M3 - Article

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VL - 15

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IS - 2

ER -

STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY

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