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arXiv · 2505.09449

Stability and convergence for the length-penalized elastic flow of curves with partial free boundary

Antonia Diana
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Abstract

We investigate the asymptotic stability of the length-penalized elastic flow of curves with boundary points constrained to the $x$-axis in $\mathbb{R}^2$. The main tool in our analysis is the Lojasiewicz--Simon inequality, which is used to prove that the flow smoothly converges to an elastica.

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Antonia Diana. 2025-05-14. Stability and convergence for the length-penalized elastic flow of curves with partial free boundary. https://arxiv.org/abs/2505.09449

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