Indirect stabilization of semilinear coupled wave system

Radhia Ayechi; Moez Khenissi; Camille Laurent

doi:10.3934/mcrf.2024021

Article Contents

2025, Volume 15, Issue 2: 493-514. Doi: 10.3934/mcrf.2024021

This issue Previous Article On the stability of Lévy driven stochastic jump systems. Towards an unified approach for modeling and stabilizing impulsive and switched systems Next Article A mean reversion selling rule with constraints

Indirect stabilization of semilinear coupled wave system

1.
University of Sousse, ESSTHS, LAMMDA, Tunisia
2.
CNRS UMR 7598 and Sorbonne Universités UPMC Univ Paris 06, Laboratoire Jacques-Louis Lions, F-75005, Paris, France

^*Corresponding author: Moez Khenissi
^*Corresponding author: Moez Khenissi

Received: January 2023

Revised: February 2024

Early access: June 2024

Published: June 2025

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Abstract

In this paper, we study the indirect stabilization problem for a system of two coupled semilinear wave equations with internal damping in a bounded domain in $ \mathbb{R} ^3 $. The nonlinearity is assumed to be subcritical, defocusing and analytic. Under geometric control condition on both coupling and damping regions, we establish the exponential energy decay rate.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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References

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