Marco Pozzetta

activity

20172024

most citedA survey of the elastic flow of curves and networks

34 citations · 112 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020★ 34 cited

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…

math.AP2020★ 22 cited

The Lojasiewicz-Simon inequality for the elastic flow

Carlo Mantegazza, Marco Pozzetta

We define the elastic energy of smooth immersed closed curves in $R^{n}$ as the sum of the length and the $L^{2}$ -norm of the curvature, with respect to the length measure. We…

math.AP2020★ 26 cited

Convergence of elastic flows of curves into manifolds

Marco Pozzetta

For a given $p \in [2, + \infty)$ , we define the $p$ -elastic energy $E$ of a closed curve $γ : S^{1} \to M$ immersed in a complete Riemannian manifold $(M, g)$ as the sum…