1 citations · 2 across the 5 of their papers we have counts for
6 papers
Wetting theorems in capillarity theory
Francesco Maggi, Michael Novack, Daniel Restrepo
We prove the uniform convergence of Plateau borders to Plateau singularities in the vanishing-volume limit of a soap film model based on capillarity theory. The results are formula…
On the emergence of almost-honeycomb structures in low-energy planar clusters
Marco Caroccia, Kenneth DeMason, Francesco Maggi
Several commonly observed physical and biological systems are arranged in shapes that closely resemble an honeycomb cluster, that is, a tessellation of the plane by regular hexagon…
Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Matteo Bonforte, Francesco Maggi, Daniel Restrepo
We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the ini…
A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen--Cahn equation
Francesco Maggi, Michael Novack, Daniel Restrepo
We introduce a diffused interface formulation of the Plateau problem, where the Allen--Cahn energy is minimized under a volume constraint and a spann…
Plateau borders in soap films and Gauss' capillarity theory
Francesco Maggi, Michael Novack, Daniel Restrepo
We provide, in the setting of Gauss' capillarity theory, a rigorous derivation of the equilibrium law for the three dimensional structures known as Plateau borders which arise in "…
Rigidity and large volume residues in exterior isoperimetry for convex sets
Nicola Fusco, Francesco Maggi, Massimiliano Morini +1
A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile of any convex body in lies above that of…