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arXiv · 2303.12516

Migrating elastic flows

Tomoya Kemmochi·Tatsuya Miura
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Abstract

Huisken's problem asks whether there is an elastic flow of closed planar curves that is initially contained in the upper half-plane but `migrates' to the lower half-plane at a positive time. Here we consider variants of Huisken's problem for open curves under the natural boundary condition, and construct various migrating elastic flows both analytically and numerically.

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Tomoya Kemmochi, Tatsuya Miura. 2023-03-22. Migrating elastic flows. https://doi.org/10.1016/j.matpur.2024.02.003

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