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arXiv · 1811.06608

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

Shinya Okabe·Paola Pozzi·Glen Wheeler
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Abstract

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 $p \in (1,\infty)$ 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.

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Shinya Okabe, Paola Pozzi, Glen Wheeler. 2018-11-15. A gradient flow for the p-elastic energy defined on closed planar curves. https://arxiv.org/abs/1811.06608

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