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math.OC2025
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
Matthieu Bonnivard, Elie Bretin, Antoine Lemenant +1
This work focuses on a phase field approximation of Plateau's problem. Inspired by Reifenberg's point of view, we introduce a model that combines the Ambrosio-Torterelli energy wit…
cond-mat.soft2025★ 1 cited
Turing patterns on polymerized membranes: a coarse-grained lattice modelling with internal degree of freedom for polymer direction
F. Kato, H. Koibuchi, E. Bretin +6
We numerically study Turing patterns (TPs) on two-dimensional surfaces with a square boundary in using a surface model for polymerized membranes. The variables used to…