Nonlinear analysis of the finite-amplitude oscillations of a charged liquid layer on a rigid spherical core for the multimodal initial deformation of the free surface

DOI10.1134/S0015462812030039zbMath1256.76081MaRDI QIDQ1936840

D. O. Kornienko, A. I. Grigor'ev, S. O. Shiryaeva

Publication date: 8 February 2013

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

nonlinear oscillationsideal fluidelectric chargeinternal nonlinear resonancethawing hailstone

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

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• Non-linear modal interactions in the oscillations of a liquid drop in a gravitational field
• Estimation of the stability limit of a liquid layer on the surface of a spherical core in an electric field
• Nonlinear oscillations of a charged drop with multimodal initial deformation of its equilibrium shape
• Nonlinear capillary oscillations of a volumetrically charged dielectric drop
• Effect of disjoining pressure on the instability of a charged thin liquid film on a spherical rigid core
• Capillary instabilities of charged drops and electrical dispersion of liquids. Review
• Resonant oscillations of inviscid charged drops
• The physics of a thunderstorm

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