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Convergence of Sobolev gradient trajectories to elastica

Published 14 Jul 2021 in math.AP and math.DG | (2107.06504v2)

Abstract: In this paper we study the $H2(ds)$-gradient flow for the modified elastic energy defined on closed curves in $\mathbb{R}n$. We prove the existence of a unique global-in-time solution to the flow and establish full convergence to elastica by way of a {\L}ojasiewicz--Simon gradient inequality.

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Authors (2)

  1. Shinya Okabe 
  2. Philip Schrader 

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