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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…