{"ID":2877577,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.19755","arxiv_id":"2508.19755","title":"Controllability of a One-Dimensional Dynamic Debonding Model","abstract":"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.","short_abstract":"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 prec...","url_abs":"https://arxiv.org/abs/2508.19755","url_pdf":"https://arxiv.org/pdf/2508.19755v1","authors":"[\"Nicola De Nitti\",\"Arick Shao\"]","published":"2025-08-27T10:34:13Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.OC\"]","methods":"[]","has_code":false}