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Existence and Uniqueness of the Motion by Curvature of regular networks
Michael Gößwein, Julia Menzel, Alessandra Pluda
We prove existence and uniqueness of the motion by curvatureof networks in when the initial datum is of class , with triple junction where the u…
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…
Willmore Flow of planar networks
Harald Garcke, Julia Menzel, Alessandra Pluda
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics and in many applications. The evolution of elastic curves has been studied in d…
Some minimization problems for planar networks of elastic curve
Anna Dall'Acqua, Alessandra Pluda
In this note we announce some results that will appear in [6] (joint work with also Matteo Novaga) on the minimization of the functional , where …