# A second order gradient flow of $p$-elastic planar networks

created by novaga on 16 May 2019
modified on 05 Jun 2019

[BibTeX]

Submitted Paper

Inserted: 16 may 2019
Last Updated: 5 jun 2019

Year: 2019

ArXiv: 1905.06742 PDF

Abstract:

We consider a second order gradient flow of the $p$-elastic energy for a planar theta-network of three curves with fi xed lengths. We construct a weak solution of the flow by means of an implicit variational scheme. We show long-time existence of the evolution and convergence to a critical point of the energy.