22 citations · 46 across the 16 of their papers we have counts for
6 papers · 1 filter
A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
Elie Bretin, Antonin Chambolle, Simon Masnou
We investigate a new phase field model for representing non-oriented interfaces, approximating their area and simulating their area-minimizing flow. Our contribution is related to…
Multiphase mean curvature flows with high mobility contrasts: a phase-field approach, with applications to nanowires
Elie Bretin, Alexandre Danescu, José Penuelas +1
The structure of many multiphase systems is governed by an energy that penalizes the area of interfaces between phases weighted by surface tension coefficients. However, interface…
Existence, regularity and structure of confined elasticae
François Dayrens, Simon Masnou, Matteo Novaga
We consider the problem of minimizing the bending or elastic energy among Jordan curves confined in a given open set . We prove existence, regularity and some structural propert…
Phase-field approximations of the Willmore functional and flow
Elie Bretin, Simon Masnou, Edouard Oudet
We discuss in this paper phase-field approximations of the Willmore functional and the associated L2-flow. After recollecting known results on the approximation of the Willmore ene…
A coarea-type formula for the relaxation of a generalized elastica functional
Simon Masnou, Giacomo Nardi
We consider in R^2 the generalized elastica functional defined, for smooth functions, as the p-elastica energies of the level lines integrated over all levels. Extending the functi…
Gradient Young measures, varifolds, and a generalized Willmore functional
Simon Masnou, Giacomo Nardi
Being Omega an open and bounded Lipschitz domain of R^n, we consider the generalized Willmore functional on Omega defined, for smooth functions, as the p-Willmore energy of each is…