A General Stability for a Modified Type III Thermoelastic Bresse System via the Longitudinal Displacement

Authors:
Open Access
Publisher website
Google Scholar
Abstract
This paper studies a one-dimensional thermoelastic Bresse beam model, in which thermal effects governed by the Green–Naghdi theory of heat conduction are coupled specifically with the longitudinal displacement. Assuming appropriate conditions on the memory kernel and by defining a key stability parameter, we prove a unified decay estimate for the system’s energy. This general result includes both exponential and polynomial decay rates as special instances, offering a comprehensive framework for characterizing the system’s long-term behavior.
Funding Information
  • Ongoing Research Funding Program (ORF-2025-975)

This publication has 29 references indexed in Scilit: