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arXiv · 2103.11607

The critical points of the elastic energy among curves pinned at endpoints

Kensuke Yoshizawa
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Abstract

In this paper we find curves minimizing the elastic energy among curves whose length is fixed and whose ends are pinned. Applying the shooting method, we can identify all critical points explicitly and determine which curve is the global minimizer. As a result we show that the critical points consist of wavelike elasticae and the minimizers do not have any loops or interior inflection points.

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Kensuke Yoshizawa. 2021-03-22. The critical points of the elastic energy among curves pinned at endpoints. https://arxiv.org/abs/2103.11607

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