1 citations · 4 across the 7 of their papers we have counts for
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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
On the relaxation of Gauss's capillarity theory under spanning conditions
Michael Novack
We study a variational model for soap films in which the films are represented by sets with fixed small volume rather than surfaces. In this problem, a minimizing sequence of compl…
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 "…