Daniele De Gennaro

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math.AP2025

Non-polyconvex $Q$ -integrands with lower semicontinuous energies

Daniele De Gennaro, Antonio De Rosa

For any fixed $Q \in N$ , we construct a positive measure on the space of positively oriented $2$ -vectors in $R^{4}$ , whose barycenter is a simple $2$ -vector, yet whic…

math.AP2025

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.AP2024

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…

Non-polyconvex Q-integrands with lower semicontinuous energies

Elementary discrete diffusion/redistancing schemes for the mean curvature flow

Discrete-to-continuum crystalline curvature flows

Non-polyconvex $Q$ -integrands with lower semicontinuous energies