Phase-field approximations of the Willmore functional and flow

Abstract

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 energy and its L1 relaxation, we derive the expression of the flows associated with various approximations, and we show their behavior by formal arguments based on matched asymptotic… (More)
DOI: 10.1007/s00211-014-0683-4

Topics

14 Figures and Tables

Slides referencing similar topics