Controllability of a One-Dimensional Dynamic Debonding Model
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908505855754240 |
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| author | De Nitti, Nicola Shao, Arick |
| author_facet | De Nitti, Nicola Shao, Arick |
| contents | We investigate a one-dimensional dynamic debonding model, introduced by Freund (1990), in which the wave equation is coupled with a Griffith criterion governing the propagation of the fracture. In particular, we study the boundary controllability of the system to a prescribed target state. Our main results provide precise characterizations of the reachable target states, in both \( C^{ 0, 1 } \) and \( C^1 \) regularity settings, and construct exact controls toward these target states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19755 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Controllability of a One-Dimensional Dynamic Debonding Model De Nitti, Nicola Shao, Arick Analysis of PDEs Optimization and Control 93B05 (primary), 35L05, 93C20, 35Q74, 35R35, 74H20 (secondary) We investigate a one-dimensional dynamic debonding model, introduced by Freund (1990), in which the wave equation is coupled with a Griffith criterion governing the propagation of the fracture. In particular, we study the boundary controllability of the system to a prescribed target state. Our main results provide precise characterizations of the reachable target states, in both \( C^{ 0, 1 } \) and \( C^1 \) regularity settings, and construct exact controls toward these target states. |
| title | Controllability of a One-Dimensional Dynamic Debonding Model |
| topic | Analysis of PDEs Optimization and Control 93B05 (primary), 35L05, 93C20, 35Q74, 35R35, 74H20 (secondary) |
| url | https://arxiv.org/abs/2508.19755 |