3 papers
math.AP2025
Flat flows of periodic Lipschitz subgraphs for generalized nonlocal perimeters
Lucia De Luca, Antonia Diana, Marcello Ponsiglione
We prove the existence and the 1/2-Hölder continuity in time of flat flows for periodic Lipschitz subgraphs, whose evolution is governed by the gradient flow of generalized nonloc…
math.AP2025
Stability and convergence for the length-penalized elastic flow of curves with partial free boundary
Antonia Diana
We investigate the asymptotic stability of the length-penalized elastic flow of curves with boundary points constrained to the -axis in . The main tool in our anal…
math.AP2024
Elastic flow of curves with partial free boundary
Antonia Diana
We consider a curve with boundary points free to move on a line in , which evolves by the --gradient flow of the elastic energy, that is a linear combination of t…