Exact solutions for steady capillary waves on a fluid annulus

DOI10.1007/s003329900080zbMath0949.76012OpenAlexW2012496787WikidataQ127726187 ScholiaQ127726187MaRDI QIDQ1819211

Darren G. Crowdy

Publication date: 1 February 2000

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003329900080

zbMATH Keywords

annulus of swirling irrotational fluidfinite amplitude waves on fluid sheetsfree surface potential flowssteady capillary waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Complex variables methods applied to problems in fluid mechanics (76M40) Free-surface potential flows for incompressible inviscid fluids (76B07)

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A line vortex in a two-fluid system ⋮ Hydroelastic waves on fluid sheets ⋮ Exact solutions for shapes of two-dimensional bubbles in a corner flow ⋮ Singularity theory of plane curves and its applications ⋮ Overhanging and touching waves in constant vorticity flows ⋮ Traveling capillary waves on the boundary of a fluid disc ⋮ Exact solution for capillary waves on the surface of a liquid of finite depth ⋮ The stability of capillary waves on fluid sheets ⋮ Investigation of symmetry breaking in periodic gravity–capillary waves ⋮ Three-dimensional capillary waves due to a submerged source with small surface tension ⋮ Generation of interfacial instabilities in charged electrified viscous liquid films ⋮ Nonlinear capillary free-surface flows ⋮ ‘H-states’: exact solutions for a rotating hollow vortex ⋮ A note on electrified droplets

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