Polynomial Stability of a Type II Porous Thermoelastic System with Local Memory Damping
Ya-nan Sun, Qiong Zhang
TL;DR
This paper investigates the long-term stability of a one-dimensional porous thermoelastic system with local memory damping, proving polynomial decay of energy and clarifying damping effects using frequency domain analysis.
Contribution
It introduces a unified framework for analyzing polynomial stability in partially damped porous thermoelastic systems with local memory damping.
Findings
Proves polynomial decay of the system's energy over time.
Clarifies the impact of local memory damping on stability.
Provides a frequency domain resolvent estimate approach.
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
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