Indirect stabilization of semilinear coupled wave systems

Radhia Ayechi; Moez Khenissi; Camille Laurent

Indirect stabilization of semilinear coupled wave systems

Analysis of PDEs 2024-07-08 v1 Optimization and Control

Authors: Radhia Ayechi , Moez Khenissi , Camille Laurent

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.

Keywords

solitary waves energy decay for wave equations delay differential equations

Cite

@article{arxiv.2407.04309,
  title  = {Indirect stabilization of semilinear coupled wave systems},
  author = {Radhia Ayechi and Moez Khenissi and Camille Laurent},
  journal= {arXiv preprint arXiv:2407.04309},
  year   = {2024}
}

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