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arXiv · 2512.21802

Obstacle problems for the elastic flow and related topics

Kensuke Yoshizawa
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Abstract

In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when additional regularity is obtained. Related results concerning obstacle problems for the bending energy are also collected.

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Kensuke Yoshizawa. 2025-12-25. Obstacle problems for the elastic flow and related topics. https://arxiv.org/abs/2512.21802

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