Calculus of Variations and Geometric Measure Theory

M. Novaga - L. Sciaraffia

Singularities of the network flow with symmetric initial data

created by novaga on 04 Oct 2023
modified on 14 Feb 2025

[BibTeX]

Published Paper

Inserted: 4 oct 2023
Last Updated: 14 feb 2025

Journal: Interfaces and Free Boundaries
Volume: 27
Number: 1
Pages: 13-25
Year: 2025
Doi: 10.4171/IFB/526

ArXiv: 2310.02890 PDF

Abstract:

We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.