3 papers
math.AP2025
Quantitative estimates for bending energies and applications to non-local variational problems
Michael Goldman, Matteo Novaga, Matthias Röger
We discuss a variational model, given by a weighted sum of perimeter, bending and Riesz interaction energies, that could be considered as a toy model for charged elastic drops. The…
math.AP2024
A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness
Cyrill B. Muratov, Matteo Novaga, Philip Zaleski
This paper addresses the ill-posedness of the classical Rayleigh variational model of conducting charged liquid drops by incorporating the discreteness of the elementary charges. I…
math.DG2024
Evolution of networks with multiple junctions
Carlo Mantegazza, Matteo Novaga, Alessandra Pluda +1
We consider the motion by curvature of a network of curves in the plane and we discuss existence, uniqueness, singularity formation and asymptotic behavior of the flow.