4 citations · 4 across the 5 of their papers we have counts for
5 papers
Crystallization in the Winterbottom shape and sharp fluctuation laws
Manuel Friedrich, Leonard Kreutz, Ulisse Stefanelli
We address finite crystallization in two dimensions in the presence of a flat crystalline substrate. Particles interact through short-range two- and three-body potentials favoring…
The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi +1
While the classical Faber-Krahn inequality shows that the ball uniquely minimizes the first Dirichlet eigenvalue of the Laplacian in the continuum, this rigidity may fail in the di…
Derivation of Kirchhoff-type plate theories for elastic materials with voids
Manuel Friedrich, Leonard Kreutz, Konstantinos Zemas
We rigorously derive a Blake-Zisserman-Kirchhoff theory for thin plates with material voids, starting from a three-dimensional model with elastic bulk and interfacial energy featur…
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories
Luca Briani, Marco Cicalese, Leonard Kreutz
We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diver…
Optimal design of mixtures of ferromagnetic interactions
Andrea Braides, Leonard Kreutz
We provide a general framework for the optimal design of surface energies on networks. We prove sharp bounds for the homogenization of discrete systems describing mixtures of ferro…