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arXiv · 2407.04309

Indirect stabilization of semilinear coupled wave systems

Radhia Ayechi·Moez Khenissi·Camille Laurent
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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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Radhia Ayechi, Moez Khenissi, Camille Laurent. 2024-07-05. Indirect stabilization of semilinear coupled wave systems. https://arxiv.org/abs/2407.04309

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