Work

On the decay rate of a Timoshenko system with dual‐phase‐lag thermoelasticity in unbounded domains

Year: 2026

Type: article

Abstract: In this paper, we investigate the Cauchy problem for a dual‐phase‐lag (DPL) thermoelastic Timoshenko system with a DPL heat conduction. This DPL model, which includes two thermal relaxation times, and , describes non‐instantaneous heat propagation. We first study the decay properties of the system using the energy method in Fourier space, by constructing an appropriate Lyapunov functional. Then, we prove that the ‐norm of the solution decays with the rate , with some regularity loss and under the assumption .

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70112

Authors: Hizia Bounadja, Salim Messaoudi, Maisa Khader

Institutions: University of Sciences and Technology Houari Boumediene, University of Sharjah, Princess Sumaya University for Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W7125966715

FWCI: 2.78

Cites: 10

Cited by: 1

Related to: