Work

Polynomial decay of the energy of solutions of coupled wave equations with locally boundary fractional dissipation

Year: 2024

Type: article

Abstract: In this paper, we investigate a system of coupled wave equations featuring boundary fractional damping applied to a portion of the domain. We first establish the well-posedness of the system, proving the existence and uniqueness of solutions through semi-group theory. While the system does not exhibit exponential stability, we demonstrate its strong stability. Furthermore, leveraging Arendt and Batty’s general criteria and certain geometric conditions, we prove a polynomial rate of energy decay for the solutions.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03200-7

Authors: Amina Chaili, Abderrahmane Beniani, Ahmed Bchatnia, Suleman Alfalqi

Institutions: Université de ain Témouchent, Tunis University, Tunis El Manar University, King Khalid University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,990

OpenAlex ID: W4402489569