4 papers
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…
Non-polyconvex -integrands with lower semicontinuous energies
Daniele De Gennaro, Antonio De Rosa
We construct a positive measure on the space of positively oriented -vectors in , whose barycenter is a simple -vector, yet which cannot be approximated by weig…
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…
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus
Vedansh Arya, Daniele De Gennaro, Anna Kubin
We study the asymptotic behavior of flat flow solutions to the periodic and planar two-phase Mullins-Sekerka flow and area-preserving curvature flow. We show that flat flows conver…