34 citations · 88 across the 23 of their papers we have counts for
12 papers · 1 filter
One thousand and one higher-order geometric flows of networks
Luca Benatti, Alessandra Pluda
We show short-time existence and uniqueness up to reparametrization for a large class of higher-order geometric flows of curves and networks obtained as -gradient flow of high…
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…
Variational models for the interaction of surfactants with curvature -- existence and regularity of minimizers in the case of flexible curves
Christopher Brand, Georg Dolzmann, Alessandra Pluda
Existence and regularity of minimizers for a geometric variational problem is shown. The variational integral models an energy contribution of the interface between two immiscible…
A survey of the elastic flow of curves and networks
Carlo Mantegazza, Alessandra Pluda, Marco Pozzetta
We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In partic…
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…
Minimal elastic networks
Anna Dall'Acqua, Matteo Novaga, Alessandra Pluda
We consider planar networks of three curves that meet at two junctions with prescribed equal angles, minimizing a combination of the elastic energy and the length functional. We pr…
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 …
Nontrivial solutions of quasilinear elliptic equations with natural growth term
Marco Degiovanni, Alessandra Pluda
We prove the existence of multiple solutions for a quasilinear elliptic equation containing a term with natural growth, under assumptions that are invariant by diffeomorphism. To t…
Evolution of spoon-shaped networks
Alessandra Pluda
We consider a regular embedded network composed by two curves, one of them closed, in a convex domain . The two curves meet only in one point, forming angle of degrees. Th…