1 citations · 2 across the 3 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
math.AP2023★ 1 cited
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…
math.AP2023★ 1 cited
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 "…