Motion by Curvature of Networks in the Plane - Lecture 4

Explore the intricacies of motion by curvature of networks in the plane in this comprehensive lecture delivered by Carlo Mantegazza from the University of Naples Federico II. Delve into topics such as collapse with bounded curvature, parametrizing curves, and the evolution equation for lambda. Examine very special networks and understand why this approach works. Investigate consequences, Type Zero, singularities, and localization. Analyze the collapse of a region and unbounded curvature. Part of the International School on Extrinsic Curvature Flows, this in-depth presentation offers valuable insights into advanced mathematical concepts related to network curvature.

Introduction
Collapse with bounded curvature
Parametrizing curves
Evolution equation for lambda
Very special networks
Why this works
Consequence
Type ZeroSingularities
Localization
Collapse of a region
Un unbounded curvature