A trajectory equation for walking droplets: hydrodynamic pilot-wave theory

DOI10.1017/JFM.2013.581zbMath1294.76254OpenAlexW2141680181MaRDI QIDQ2878614

Anand U. Oza, John W. M. Bush, Rodolfo Ruben Rosales

Publication date: 29 August 2014

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

Full work available at URL: http://hdl.handle.net/1721.1/90191

zbMATH Keywords

Faraday wavesdropswaves/free-surface flows

Mathematics Subject Classification ID

Liquid-gas two-phase flows, bubbly flows (76T10) Hydrodynamic stability (76E99)

Related Items (20)

What is quantum information? ⋮ Pilot-wave hydrodynamics in a rotating frame: Exotic orbits ⋮ Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers ⋮ Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers ⋮ Pilot-wave dynamics in a rotating frame: the onset of orbital instability ⋮ Walking Droplets as a Damped-Driven System ⋮ A model for Faraday pilot waves over variable topography ⋮ Faraday wave–droplet dynamics: discrete-time analysis ⋮ Free rings of bouncing droplets: stability and dynamics ⋮ Bouncing phase variations in pilot-wave hydrodynamics and the stability of droplet pairs ⋮ State space geometry of the chaotic pilot-wave hydrodynamics ⋮ Emergence of superwalking droplets ⋮ Bifurcations and chaos in a Lorenz-like pilot-wave system ⋮ Specificity of the Schrödinger equation ⋮ Speed oscillations in classical pilot-wave dynamics ⋮ Collective vibrations of a hydrodynamic active lattice ⋮ Faraday pilot-wave dynamics: modelling and computation ⋮ Non-wetting impact of a sphere onto a bath and its application to bouncing droplets ⋮ Faraday pilot-wave dynamics in a circular corral ⋮ Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers

Cites Work

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• On the non-linear mechanics of hydrodynamic stability
• Viscous effects on small-amplitude surface waves
• Linear theory of Faraday instability in viscous liquids
• Quantum mechanics writ large
• Drops bouncing on a vibrating bath
• Drops walking on a vibrating bath: towards a hydrodynamic pilot-wave theory
• Particle–wave association on a fluid interface
• The stability of the plane free surface of a liquid in vertical periodic motion

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