2 papers
math.AP2026
Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
Riccardo Durastanti, Lorenzo Giacomelli
For negative values of the spreading coefficient (that is, in the so-called ``partial wetting'' regime), we prove that the thin-film equation with zero slip and repulsive potential…
math.AP2025
Total variation flow of curves in Riemannian manifolds
Lorenzo Giacomelli, MichaÅ Åasica, Salvador Moll
We consider the functional of total variation of maps from an interval into a Riemannian submanifold of . We define a notion of strong solution to the system of equati…