Dario Reggiani

collaborators

3 papers

math.AP2024

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $S^{2}$ -valued spin system on the lattice $λ_{n} Z^{2}$ as $λ_{n} \to 0$ . For $\…

math.AP2023

Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity

Stefano Almi, Dario Reggiani, Francesco Solombrino

We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the $L^{1^{*}}$ -distance of a possibly incomp…

math.AP2023

Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth

Stefano Almi, Dario Reggiani, Francesco Solombrino

A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-t…

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the S1 to S2 limit

Geometric rigidity for incompatible fields in the multi-well case and an application to strain-gradient plasticity

Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit