Equilibrium shapes of charged droplets and related problems: (mostly) a review

Michael Goldman, and Berardo Ruffini. "Equilibrium shapes of charged droplets and related problems: (mostly) a review." Geometric Flows 2.1 (2017): null. <http://eudml.org/doc/288529>.

@article{MichaelGoldman2017,
abstract = {We review some recent results on the equilibrium shapes of charged liquid drops. We show that the natural variational model is ill-posed and how this can be overcome by either restricting the class of competitors or by adding penalizations in the functional. The original contribution of this note is twofold. First, we prove existence of an optimal distribution of charge for a conducting drop subject to an external electric field. Second, we prove that there exists no optimal conducting drop in this setting.},
author = {Michael Goldman, Berardo Ruffini},
journal = {Geometric Flows},
keywords = {Isoperimetry; non-local energies; charged drops},
language = {eng},
number = {1},
pages = {null},
title = {Equilibrium shapes of charged droplets and related problems: (mostly) a review},
url = {http://eudml.org/doc/288529},
volume = {2},
year = {2017},
}

TY - JOUR
AU - Michael Goldman
AU - Berardo Ruffini
TI - Equilibrium shapes of charged droplets and related problems: (mostly) a review
JO - Geometric Flows
PY - 2017
VL - 2
IS - 1
SP - null
AB - We review some recent results on the equilibrium shapes of charged liquid drops. We show that the natural variational model is ill-posed and how this can be overcome by either restricting the class of competitors or by adding penalizations in the functional. The original contribution of this note is twofold. First, we prove existence of an optimal distribution of charge for a conducting drop subject to an external electric field. Second, we prove that there exists no optimal conducting drop in this setting.
LA - eng
KW - Isoperimetry; non-local energies; charged drops
UR - http://eudml.org/doc/288529
ER -