%0 Report %D 2019 %T A continuous dependence result for a dynamic debonding model in dimension one %A Filippo Riva %X

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.

%I SISSA %G en %U http://preprints.sissa.it/xmlui/handle/1963/35329 %1 35640 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2019-03-07T10:11:29Z No. of bitstreams: 1 PREPRINT_A continuous dependence result_Riva.pdf: 414517 bytes, checksum: 2719ac30fe4051bca0f76f6e2f603b4c (MD5)