2 papers
math.AP2022
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
Giuliano Lazzaroni, Riccardo Molinarolo, Filippo Riva +1
We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms, we show how, through increasing regularity…
math.AP2020
Radial solutions for a dynamic debonding model in dimension two
Giuliano Lazzaroni, Riccardo Molinarolo, Francesco Solombrino
In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule (Griffith's principle)…