English

Singularities of the network flow with symmetric initial data

Analysis of PDEs 2023-10-05 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.2310.02890,
  title  = {Singularities of the network flow with symmetric initial data},
  author = {Matteo Novaga and Luciano Sciaraffia},
  journal= {arXiv preprint arXiv:2310.02890},
  year   = {2023}
}

Comments

10 pages, 2 figures

R2 v1 2026-06-28T12:40:31.712Z