The elastic flow of curves on the sphere

Author:

Dall’Acqua Anna,Laux Tim,Lin ,Pozzi Paola,Spener Adrian

Abstract

Abstract We consider closed curves on the sphere moving by the L2-gradient flow of the elastic energy both with and without penalisation of the length and show short-time and long-time existence of the flow. Moreover, when the length is penalised, we prove sub-convergence to critical points.

Publisher

Portico

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Willmore flow of Hopf-tori in the 3-sphere;Journal of Evolution Equations;2023-10-28

2. Instability of closed p-elastic curves in 2;Analysis and Applications;2023-09-14

3. The p-elastic flow for planar closed curves with constant parametrization;Journal de Mathématiques Pures et Appliquées;2023-05

4. A minimising movement scheme for the p-elastic energy of curves;Journal of Evolution Equations;2022-04-27

5. Convergence of elastic flows of curves into manifolds;Nonlinear Analysis;2022-01

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