22 citations · 249 across the 87 of their papers we have counts for
88 papers · 1 filter
On the Shape of Small Liquid Drops Minimizing Nonlocal Energies
Konstantinos Bessas, Matteo Novaga, Fumihiko Onoue
We study the equilibrium shape of liquid drops minimizing the fractional perimeter under the action of a potential energy. We prove, with a quantitative estimate, that the small vo…
Local and Nonlocal Liquid Drop Models
M. Novaga, F. Onoue
We consider some extensions of Gamow's liquid drop model for an atomic nucleus. We present a review of the classical model and then we illustrate some recent developments on a nonl…
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…
-gradient flow of convex functionals
Antonin Chambolle, Matteo Novaga
We are interested in the gradient flow of a general first order convex functional with respect to the -topology. By means of an implicit minimization scheme, we show existence…
Minimal periodic foams with equal cells
Annalisa Cesaroni, Matteo Novaga
We show existence of periodic foams with equal cells in minimizing an anisotropic perimeter.
Periodic partitions with minimal perimeter
Annalisa Cesaroni, Matteo Novaga
We show existence of fundamental domains which minimize a general perimeter functional in a homogeneous metric measure space. In some cases, which include the usual perimeter in th…