Calculus of Variations and Geometric Measure Theory

M. Novaga - P. Pozzi

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

created by novaga on 16 May 2019
modified on 13 Feb 2020


Published Paper

Inserted: 16 may 2019
Last Updated: 13 feb 2020

Journal: SIAM J. Math. Anal.
Volume: 52
Number: 1
Pages: 682-708
Year: 2020

ArXiv: 1905.06742 PDF


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.