The stability of capillary waves on fluid sheets

DOI10.1017/jfm.2016.588zbMath1383.76066OpenAlexW2526369357MaRDI QIDQ5360473

Mark G. Blyth, Emilian I. Părău

Publication date: 28 September 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://ueaeprints.uea.ac.uk/id/eprint/59993/1/paper.pdf

zbMATH Keywords

capillary waveswaves/free-surface flows

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Hydrodynamic stability (76E99)

Related Items (4)

Stability of waves on fluid of infinite depth with constant vorticity ⋮ New solutions for interfacial capillary waves of permanent form ⋮ On the critical free-surface flow over localised topography ⋮ Fully dispersive models for moving loads on ice sheets

Cites Work

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• Time-dependent conformal mapping of doubly-connected regions
• Stability of periodic gravity waves in the presence of surface tension
• The spectrum of finite depth water waves
• On variational formulations for steady water waves
• Exact solutions for steady capillary waves on a fluid annulus
• The Bernoulli boundary condition for traveling water waves
• The instability of periodic surface gravity waves
• Hydroelastic waves on fluid sheets
• Spectral Stability of Deep Two-Dimensional Gravity Water Waves: Repeated Eigenvalues
• Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
• VARIATIONAL PRINCIPLES FOR WATER WAVES FROM THE VIEWPOINT OF A TIME‐DEPENDENT MOVING MESH
• Transience to instability in a liquid sheet
• Linear stability of finite-amplitude capillary waves on water of infinite depth
• An exact solution for progressive capillary waves of arbitrary amplitude
• The dynamics of thin-sheets of fluid. I. Water bells
• Surface Tension‐Driven Flow in a Slender Wedge
• Three-Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water
• The superharmonic instability of finite-amplitude water waves
• The fourth-order evolution equation for deep-water gravity-capillary waves
• Stability of water waves
• The superharmonic normal mode instabilities of nonlinear deep-water capillary waves
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• On two-dimensional packets of capillary-gravity waves
• Exact large amplitude capillary waves on sheets of fluid
• New solutions for capillary waves on fluid sheets
• Hamiltonian structure, symmetries and conservation laws for water waves
• Spectral Stability of Deep Two‐Dimensional Gravity‐Capillary Water Waves
• Pressure beneath a Stokes wave
• The disintegration of wave trains on deep water Part 1. Theory
• Wave Instabilities

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