A gradient flow for open elastic curves with fixed length and clamped ends

作者:Dall'Acqua Anna*; Lin Chun Chi; Pozzi Paola
来源:Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2017, 17(3): 1031-1066.

摘要

We consider regular open curves in R-n with clamped ends subject to a fixed length constraint and moving according to the L-2-gradient flow of the elastic energy. For this flow we prove a long time existence result and subconvergence to critical points. In particular our result provides an alternative approach for finding equilibrium configurations of bending energy.

  • 出版日期2017