Motion by curvature of networks with two triple junctions
Carlo Mantegazza, Matteo Novaga, and Alessandra Pluda
TL;DR
This paper studies the evolution of embedded networks with two triple junctions driven by curvature, classifies potential singularities, and discusses conditions for long-term existence of the flow.
Contribution
It provides a classification of singularities and analyzes long-time existence for curvature-driven evolution of networks with two triple junctions.
Findings
Classification of possible singularities
Conditions for long-time existence
Insights into network evolution dynamics
Abstract
We consider the evolution by curvature of a general embedded network with two triple junctions. We classify the possible singularities and we discuss the long time existence of the evolution.
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