3 papers
math.AP2025
Minimal horizontal triods: Analysis and computation
Robert Nürnberg, Paola Pozzi
In this article we investigate the question of finding a network configuration of minimal length connecting three given points in the Heisenberg group. After proving existence of (…
math.NA2025
A surface finite element scheme for a stochastic PDE on an evolving curve
Paola Pozzi, Björn Stinner
In this paper we consider an ESFEM method for the advection and diffusion of a scalar quantity on a moving closed curve. The diffusion process is controlled by a forcing term that…
math.AP2023
Stability analysis for the anisotropic curve shortening flow of planar networks
Michael Gößwein, Matteo Novaga, Paola Pozzi
In this article we study the anisotropic curve shortening flow for a planar network of three curves with fixed endpoints and which meet in a triple junction. We show that the aniso…