3 papers
math.AP2026
Concentration effects and -limit for the elastica functional for open and closed curves
Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1
We study the -convergence of a class of elastica-type energies defined on immersed planar curves and depending on a small positive parameter . As , sequences wit…
math.AP2026
A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions
Giovanni Bellettini, Virginia Lorenzini, Matteo Novaga +1
We consider a fourth-order regularization of the curvature flow for an immersed plane curve with fixed boundary, using an elastica-type functional depending on a small positive par…
math.AP2025
Crystalline elastic flow of polygonal curves: long time behaviour and convergence to stationary solutions
Giovanni Bellettini, Shokhrukh Yu. Kholmatov, Matteo Novaga
Given a planar crystalline anisotropy, we study the crystalline elastic flow of immersed polygonal curves, possibly also unbounded. Assuming that the segments evolve by parallel tr…