5 papers
Non-polyconvex -integrands with lower semicontinuous energies
Daniele De Gennaro, Antonio De Rosa
For any fixed , we construct a positive measure on the space of positively oriented -vectors in , whose barycenter is a simple -vector, yet whic…
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…
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…
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…
Minimizing Movements for Anisotropic and Inhomogeneous Mean Curvature Flows
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
In this paper we address anisotropic and inhomogeneous mean curvature flows with forcing and mobility, and show that the minimizing movements scheme converges to level set/viscosit…