3 papers
math.AP2026
A distributional approach to nonlocal curvature flows
Filippo Cagnetti, Massimiliano Morini, Dario Reggiani
In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an appro…
math.AP2026
Elementary discrete diffusion/redistancing schemes for the mean curvature flow
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
We consider a fully discrete and explicit scheme for the mean curvature flow of boundaries, based on an elementary diffusion step and a precise redistancing operation. We give an e…
math.AP2025
Discrete-to-continuum crystalline curvature flows
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
We consider here a fully discrete variant of the implicit variational scheme for mean curvature flow [AlmTayWan,LucStu], in a setting where the flow is governed by a crystalline su…