# Lectures on curvature flow of networks

**Authors:** Carlo MAntegazza, Matteo Novaga, Alessandra Pluda

arXiv: 1905.07778 · 2019-05-21

## TL;DR

This paper reviews the evolution of planar networks under curvature flow, focusing on the existence of solutions and the analysis of singularities in the process.

## Contribution

It provides a comprehensive collection of results on curvature flow of networks, emphasizing existence and singularity analysis.

## Key findings

- Existence of solutions for curvature flow of networks
- Characterization of singularities in the evolution
- Analytical techniques for curvature flow problems

## Abstract

We present a collection of results on the evolution by curvature of networks of planar curves. We discuss in particular the existence of a solution and the analysis of singularities.

## Full text

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## Figures

17 figures with captions in the complete paper: https://tomesphere.com/paper/1905.07778/full.md

## References

45 references — full list in the complete paper: https://tomesphere.com/paper/1905.07778/full.md

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Source: https://tomesphere.com/paper/1905.07778