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math.DG2022
Type-0 singularities in the network flow -- Evolution of trees
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda
The motion by curvature of networks is the generalization to finite union of curves of the curve shortening flow. This evolution has several peculiar features, mainly due to the pr…
math.DG2022★ 1 cited
Łojasiewicz-Simon inequalities for minimal networks: stability and convergence
Alessandra Pluda, Marco Pozzetta
We investigate stability properties of the motion by curvature of planar networks. We prove Lojasiewicz-Simon gradient inequalities for the length functional of planar networks wit…