34 citations · 88 across the 23 of their papers we have counts for
4 papers · 1 filter
Degenerate elastic networks
Giacomo Del Nin, Alessandra Pluda, Marco Pozzetta
We minimize a linear combination of the Willmore and the length functional among networks in belonging to a given class determined by the number of curves, the order…
Lectures on curvature flow of networks
Carlo MAntegazza, Matteo Novaga, Alessandra Pluda
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 singularitie…
The oriented mailing problem and its convex relaxation
Marcello Carioni, Andrea Marchese, Annalisa Massaccesi +2
In this note we introduce a new model for the mailing problem in branched transportation in order to allow the cost functional to take into account the orientation of the moving pa…
Long Time Existence of Solutions to an Elastic Flow of Networks
Harald Garcke, Julia Menzel, Alessandra Pluda
The --gradient flow of the elastic energy of networks leads to a Willmore type evolution law with nontrivial nonlinear boundary conditions. We show local in time existence and…