A second order gradient flow of p-elastic planar networks
Analysis of PDEs
2019-05-24 v2
Abstract
We consider a second order gradient flow of the p-elastic energy for a planar theta-network of three curves with fixed 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.
Keywords
Cite
@article{arxiv.1905.06742,
title = {A second order gradient flow of p-elastic planar networks},
author = {Matteo Novaga and Paola Pozzi},
journal= {arXiv preprint arXiv:1905.06742},
year = {2019}
}
Comments
27 pages