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Stability and convergence for the length-penalized elastic flow of curves with partial free boundary (2505.09449v1)
Published 14 May 2025 in math.AP
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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