14 citations · 20 across the 2 of their papers we have counts for
4 papers · 1 filter
Stacking faults in the limit of a discrete model for partial edge dislocations
Annika Bach, Marco Cicalese, Adriana Garroni +1
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…
Discrete and Continuum Area-Preserving Mean-Curvature Flow of Rectangles
Marco Cicalese, Andrea Kubin
We investigate the area-preserving mean-curvature-type motion of a two-dimensional lattice crystal obtained by coupling constrained minimizing movements scheme introduced by Almgre…
Improved convergence theorems for bubble clusters. I. The planar case
Marco Cicalese, Gian Paolo Leonardi, Francesco Maggi
We describe a quantitative construction of almost-normal diffeomorphisms between embedded orientable manifolds with boundary to be used in the study of geometric variational proble…
A Selection Principle for the Sharp Quantitative Isoperimetric Inequality
Marco Cicalese, Gian Paolo Leonardi
We introduce a new variational method for the study of stability in the isoperimetric inequality. The method is quite general as it relies on a penalization technique combined with…