Coarsening phenomena in the network flow

Authors

  • Alessandra Pluda Department of Mathematics, University of Pisa
  • Yoshihiro Tonegawa Department of Mathematics, Tokyo Institute of Technology

DOI:

https://doi.org/10.6092/issn.2240-2829/21053

Keywords:

Motion by curvature, network, coarsening, flow past singularities, basin of attraction of critical points

Abstract

In this short note we summarize recent results on the asymptotic behaviour of the network flow and we give indications of an expected coarsening-type behaviour for the network flow past singularities.
The paper is complemented with a discussion on critical points and local minimizers of the length functional.

Downloads

Published

2025-01-08

How to Cite

Pluda, A., & Tonegawa, Y. (2024). Coarsening phenomena in the network flow. Bruno Pini Mathematical Analysis Seminar, 15(1), 19–37. https://doi.org/10.6092/issn.2240-2829/21053

Issue

Vol. 15 No. 1 (2024): Seminars 2024

Section

Articles

License

Copyright (c) 2024 Alessandra Pluda, Yoshihiro Tonegawa

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.