Outputs (2)

Uniform regularity and convergence of phase-fields for Willmore’s energy (2017)
Journal Article
Dondl, P. W., & Wojtowytsch, S. (2017). Uniform regularity and convergence of phase-fields for Willmore’s energy. Calculus of Variations and Partial Differential Equations, 56(4), Article 90. https://doi.org/10.1007/s00526-017-1178-9

We investigate the convergence of phase fields for the Willmore problem away from the support of a limiting measure μμ . For this purpose, we introduce a suitable notion of essentially uniform convergence. This mode of convergence is a natural genera... Read More about Uniform regularity and convergence of phase-fields for Willmore’s energy.

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.