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 03 Jul 2024


Accepted Paper

Inserted: 4 oct 2023
Last Updated: 3 jul 2024

Journal: Interfaces and Free Boundaries
Year: 2023

ArXiv: 2310.02890 PDF


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.