Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping

Hualei Zhang; Qiong Zhang

doi:10.1007/s00033-023-02026-5

Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping

Hualei Zhang
, Qiong Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

1 Citation (Scopus)

Abstract

In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. Exponential stability is obtained when there are two local damping acting on the last two equations. We also study the polynomial decay of the model with only one global damping on the heat equation of type II.

Original language	English
Article number	133
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	74
Issue number	4
DOIs	https://doi.org/10.1007/s00033-023-02026-5
Publication status	Published - Aug 2023

Keywords

Exponential stability
Polynomial stability
Semigroups
Thermo-porous-elasticity

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10.1007/s00033-023-02026-5

Cite this

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title = "Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping",

abstract = "In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. Exponential stability is obtained when there are two local damping acting on the last two equations. We also study the polynomial decay of the model with only one global damping on the heat equation of type II.",

keywords = "Exponential stability, Polynomial stability, Semigroups, Thermo-porous-elasticity",

author = "Hualei Zhang and Qiong Zhang",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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AU - Zhang, Qiong

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N2 - In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. Exponential stability is obtained when there are two local damping acting on the last two equations. We also study the polynomial decay of the model with only one global damping on the heat equation of type II.

AB - In this paper, we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids, which consists of two wave equations for the porous-elastic model and a type II heat equation. Exponential stability is obtained when there are two local damping acting on the last two equations. We also study the polynomial decay of the model with only one global damping on the heat equation of type II.

KW - Exponential stability

KW - Polynomial stability

KW - Semigroups

KW - Thermo-porous-elasticity

UR - https://www.scopus.com/pages/publications/85162076330

U2 - 10.1007/s00033-023-02026-5

DO - 10.1007/s00033-023-02026-5

M3 - Article

AN - SCOPUS:85162076330

SN - 0044-2275

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JO - Zeitschrift fur Angewandte Mathematik und Physik

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IS - 4

M1 - 133

ER -

Stability Analysis of Type II Thermo-Porous-Elastic System with Local or Global Damping

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Keywords

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