A gradient flow for the p-elastic energy defined on closed planar curves

Shinya Okabe, Paola Pozzi, Glen Wheeler

Research output: Contribution to journalArticlepeer-review

Abstract

We study the evolution of closed inextensible planar curves under a second order flow that decreases the p-elastic energy. A short time existence result for p∈ (1 , ∞) is obtained via a minimizing movements method. For p= 2 , that is in the case of the classic elastic energy, long-time existence is retrieved.

Original languageEnglish
Pages (from-to)777-828
Number of pages52
JournalMathematische Annalen
Volume378
Issue number1-2
DOIs
Publication statusPublished - 2020 Oct 1

ASJC Scopus subject areas

  • Mathematics(all)

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