Existence and stability for a non-local isoperimetric model of charged liquid drops

DOI10.1007/s00205-014-0827-9zbMath1328.76031arXiv1310.8217OpenAlexW2026990496MaRDI QIDQ2346867

Berardo Ruffini, Michael Goldman, Matteo Novaga

Publication date: 5 June 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8217

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (21)

Connected perimeter of planar sets ⋮ Coulomb and Riesz gases: The known and the unknown ⋮ Equilibria of Charged Hyperelastic Solids ⋮ Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type ⋮ Energy formulae for fractional Schrödinger-Poisson system ⋮ Nonlocal quantitative isoperimetric inequalities ⋮ Stability in shape optimization with second variation ⋮ Bifurcation and stability for charged drops ⋮ Regularity of minimizers for a model of charged droplets ⋮ Minimality of the ball for a model of charged liquid droplets ⋮ Equilibrium shapes of charged droplets and related problems: (mostly) a review ⋮ Fuglede-Type Arguments for Isoperimetric Problems and Applications to Stability Among Convex Shapes ⋮ Optimization problems with non-local repulsion ⋮ Study of island formation in epitaxially strained films on unbounded domains ⋮ On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint ⋮ A spectral shape optimization problem with a nonlocal competing term ⋮ Quantitative estimates for bending energies and applications to non-local variational problems ⋮ Foliation of an asymptotically flat end by critical capacitors ⋮ Sharp stability for the interaction energy ⋮ Conducting flat drops in a confining potential ⋮ Phase Segregation for Binary Mixtures of Bose--Einstein Condensates

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