Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena

摘要

This problem arises from the physical model “Peel a thin film from a domain”. The behavior of the peeling front is governed by a hyperbolic equation. As the first step, the one-dimensional case is treated. The local solutions have been already given. In this note, the global solution is constructed under the assumption the peeling speed is non negative.