3 papers
math.AP2026
Fractured membranes under determinant constraints: the case of cohesive surface energies
Nicola Pio Melillo, Dario Reggiani
This paper is devoted to the variational derivation of reduced models for elastic membranes with fracture under constraints on the determinant of the deformation gradient. We consi…
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.AP2024
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the to limit
Marco Cicalese, Dario Reggiani, Francesco Solombrino
We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic -valued spin system on the lattice as . For…