Polynomial stability of a Type II porous thermoelastic system with local memory damping

Yanan Sun; Qiong Zhang

doi:10.1016/j.aml.2026.109963

Polynomial stability of a Type II porous thermoelastic system with local memory damping

Yanan Sun
, Qiong Zhang^*

^*Corresponding author for this work

Beijing Institute of Technology

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

Abstract

This paper studies the asymptotic behavior of a one-dimensional Type II porous thermoelastic system with a conservative porous structure and local memory damping applied to the elastic component. Using frequency domain resolvent estimates, we prove polynomial decay of the associated semigroup. Our results clarify the effect of local memory damping and provide a unified framework for partially damped porous thermoelastic systems.

Original language	English
Article number	109963
Journal	Applied Mathematics Letters
Volume	179
DOIs	https://doi.org/10.1016/j.aml.2026.109963
Publication status	Published - Aug 2026
Externally published	Yes

Keywords

Memory damping
Polynomial stability
Semigroup
Thermo-porous-elasticity

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10.1016/j.aml.2026.109963

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title = "Polynomial stability of a Type II porous thermoelastic system with local memory damping",

abstract = "This paper studies the asymptotic behavior of a one-dimensional Type II porous thermoelastic system with a conservative porous structure and local memory damping applied to the elastic component. Using frequency domain resolvent estimates, we prove polynomial decay of the associated semigroup. Our results clarify the effect of local memory damping and provide a unified framework for partially damped porous thermoelastic systems.",

keywords = "Memory damping, Polynomial stability, Semigroup, Thermo-porous-elasticity",

author = "Yanan Sun and Qiong Zhang",

note = "Publisher Copyright: {\textcopyright} 2026 Elsevier Ltd.",

year = "2026",

month = aug,

doi = "10.1016/j.aml.2026.109963",

language = "English",

volume = "179",

journal = "Applied Mathematics Letters",

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T1 - Polynomial stability of a Type II porous thermoelastic system with local memory damping

AU - Sun, Yanan

AU - Zhang, Qiong

PY - 2026/8

Y1 - 2026/8

N2 - This paper studies the asymptotic behavior of a one-dimensional Type II porous thermoelastic system with a conservative porous structure and local memory damping applied to the elastic component. Using frequency domain resolvent estimates, we prove polynomial decay of the associated semigroup. Our results clarify the effect of local memory damping and provide a unified framework for partially damped porous thermoelastic systems.

AB - This paper studies the asymptotic behavior of a one-dimensional Type II porous thermoelastic system with a conservative porous structure and local memory damping applied to the elastic component. Using frequency domain resolvent estimates, we prove polynomial decay of the associated semigroup. Our results clarify the effect of local memory damping and provide a unified framework for partially damped porous thermoelastic systems.

KW - Memory damping

KW - Polynomial stability

KW - Semigroup

KW - Thermo-porous-elasticity

UR - https://www.scopus.com/pages/publications/105034490951

U2 - 10.1016/j.aml.2026.109963

DO - 10.1016/j.aml.2026.109963

M3 - Article

AN - SCOPUS:105034490951

SN - 0893-9659

VL - 179

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 109963

ER -

Polynomial stability of a Type II porous thermoelastic system with local memory damping

Abstract

Keywords

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