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A gradient flow for the p-elastic energy defined on closed planar curves

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posted on 2024-11-16, 04:19 authored by Shinya Okabe, Paola Pozzi, Glen WheelerGlen Wheeler
We study the evolution of closed inextensible planar curves under a second order flow that decreases the p-elastic energy. A short time existence result for p ∈ (1 , ∞) is obtained via a minimizing movements method. For p= 2, that is in the case of the classic elastic energy, long-time existence is retrieved.

Funding

Higher order curvature flow of curves and hypersurfaces

Australian Research Council

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History

Citation

Okabe, S., Pozzi, P. & Wheeler, G. (2019). A gradient flow for the p-elastic energy defined on closed planar curves. Mathematische Annalen, Online First 1-52.

Journal title

Mathematische Annalen

Volume

378

Issue

1/02/2024

Pagination

777-828

Language

English

RIS ID

138433

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