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arXiv · 2508.19755

Controllability of a One-Dimensional Dynamic Debonding Model

Nicola De Nitti·Arick Shao
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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.

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Nicola De Nitti, Arick Shao. 2025-08-27. Controllability of a One-Dimensional Dynamic Debonding Model. https://arxiv.org/abs/2508.19755

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