Phase Field Models for Thin Elastic Structures with Topological Constraint
(2016)
Journal Article
Dondl, P. W., Lemenant, A., & Wojtowytsch, S. (2017). Phase Field Models for Thin Elastic Structures with Topological Constraint. Archive for Rational Mechanics and Analysis, 223(2), 693-736. https://doi.org/10.1007/s00205-016-1043-6
This article is concerned with the problem of minimising the Willmore energy in the class of connected surfaces with prescribed area which are confined to a small container. We propose a phase field approximation based on De Giorgi’s diffuse Willmore... Read More about Phase Field Models for Thin Elastic Structures with Topological Constraint.