A continuous dependence result for a dynamic debonding model in dimension one
In this paper we address the problem of continuous dependence on initial and boundary data for a one-dimensional 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.
Thin ﬁlms, Dynamic debonding, Wave equation in time-dependent domains, Griﬃth’s criterion, Continuous dependence