34 citations · 88 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
Minimizing properties of networks via global and local calibrations
Alessandra Pluda, Marco Pozzetta
In this note we prove that minimal networks enjoy minimizing properties for the length functional. A minimal network is, roughly speaking, a subset of composed of st…
On the uniqueness of nondegenerate blowups for the motion by curvature of networks
Alessandra Pluda, Marco Pozzetta
In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of planar networks. The proof follows ideas introduced in "Lojasiewicz-Simon inequalit…
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…