Indirect stabilization of semilinear coupled wave systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929410436759552 |
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| author | Ayechi, Radhia Khenissi, Moez Laurent, Camille |
| author_facet | Ayechi, Radhia Khenissi, Moez Laurent, Camille |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_04309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Indirect stabilization of semilinear coupled wave systems Ayechi, Radhia Khenissi, Moez Laurent, Camille Analysis of PDEs Optimization and Control 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. |
| title | Indirect stabilization of semilinear coupled wave systems |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2407.04309 |