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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology
Tianjin University
Stanford University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	772-785
Number of pages	14
Journal	Mathematical Control and Related Fields
Volume	15
Issue number	2
DOIs	https://doi.org/10.3934/mcrf.2024040
Publication status	Published - Jun 2025

Keywords

Thermoelastic system
inertial term
singularity
stability

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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",

month = jun,

doi = "10.3934/mcrf.2024040",

language = "English",

volume = "15",

pages = "772--785",

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publisher = "American Institute of Mathematical Sciences",

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AU - Deng, Chenxi

AU - Han, Zhong Jie

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

U2 - 10.3934/mcrf.2024040

DO - 10.3934/mcrf.2024040

M3 - Article

AN - SCOPUS:85216313383

SN - 2156-8472

VL - 15

SP - 772

EP - 785

JO - Mathematical Control and Related Fields

JF - Mathematical Control and Related Fields

IS - 2

ER -

STABILITY OF THE ABSTRACT THERMOELASTIC SYSTEM WITH SINGULARITY

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Keywords

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