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

Authors

Shinya Okabe, Tohoku University
Paola Pozzi, University of Duisburg-Essen
Glen Wheeler, University of WollongongFollow

RIS ID

138433

Publication Details

Okabe, S., Pozzi, P. & Wheeler, G. (2019). A gradient flow for the p-elastic energy defined on closed planar curves. Mathematische Annalen, Online First 1-52.

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.

Grant Number

ARC/DP150100375