In this paper we address the problem of continuous dependence on initial and boundary data for a one-dimensional dynamic debonding model describing a thin film peeled away from a substrate. The system underlying the process couples the (weakly damped) wave equation with a Griffith’s criterion which rules the evolution of the debonded region. We show that under general convergence assumptions on the data the corresponding solutions converge to the limit one with respect to different natural topologies.

中文翻译：

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一维动态去粘模型的连续依赖结果

在本文中，我们针对一维动态脱粘模型（描述从基材上剥离的薄膜）解决了连续依赖初始数据和边界数据的问题。该过程的基础系统将（弱阻尼）波动方程式与格里菲斯准则相结合，该准则规定了脱胶区域的演变。我们表明，在数据的一般收敛假设下，相对于不同的自然拓扑，相应的解决方案收敛到极限1。