44 citations · 58 across the 11 of their papers we have counts for
8 papers · 1 filter
On an elastic flow for parametrized curves in suitable for numerical purposes
Paola Pozzi
In arXiv:2205.02920 a variant of the classical elastic flow for closed curves in was introduced, that is more suitable for numerical purposes. Here we investigate…
Anisotropic curvature flow of immersed networks
Heiko Kroener, Matteo Novaga, Paola Pozzi
We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, unique…
Elastic flow of networks: short-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
In this paper we study the -gradient flow of the penalized elastic energy on networks of -curves in for . Each curve is fixed at one end-point and at the…
A second order gradient flow of p-elastic planar networks
Matteo Novaga, Paola Pozzi
We consider a second order gradient flow of the p-elastic energy for a planar theta-network of three curves with fixed lengths. We construct a weak solution of the flow by means of…
Flow of elastic networks: long-time existence result
Anna Dall'Acqua, Chun-Chi Lin, Paola Pozzi
We provide a long-time existence and sub-convergence result for the elastic flow of a three network in under some mild topological assumptions. The evolution is su…
Anisotropic curvature flow of immersed curves
Gwenael Mercier, Matteo Novaga, Paola Pozzi
We prove short-time existence of ϕ-regular solutions to the anisotropic and crystalline curvature flow of immersed planar curves.
The Łojasiewicz-Simon gradient inequality for open elastic curves
Anna Dall'Acqua, Paola Pozzi, Adrian Spener
In this paper we consider the elastic energy for open curves in Euclidean space subject to clamped boundary conditions and obtain the Łojasiewicz-Simon gradient inequality for this…
Willmore-Helfrich L^{2}-flow of curves with natural boundary conditions
Anna Dall'Acqua, Paola Pozzi
We consider regular open curves in R^n with fixed boundary points and moving according to the L^{2}-gradient flow for a generalisation of the Helfrich functional. Natural boundary…