Mean flow velocities and mass transport for equatorially-trapped water waves with an underlying current

DOI10.1007/s00021-016-0262-9zbMath1359.76059OpenAlexW2345298031MaRDI QIDQ520551

David Henry, Silvia Sastre-Gómez

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1007/s00021-016-0262-9

zbMATH Keywords

explicit solutionsmass flowgeophysical water wavesmean velocity

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (16)

A modified equatorial \(\beta\)-plane approximation modelling nonlinear wave-current interactions ⋮ Exact and explicit internal equatorial water waves with underlying currents ⋮ Equatorial water waves with underlying currents in the f-plane approximation ⋮ On three-dimensional Gerstner-like equatorial water waves ⋮ Stokes drift ⋮ Internal equatorial water waves and wave-current interactions in the \(f\)-plane ⋮ An interfacial Gerstner-type trapped wave ⋮ Physical flow properties for Pollard-like internal water waves ⋮ Mean velocities in an irrotational equatorial wind wave ⋮ Partially reflected waves in water of finite depth ⋮ Exact steady azimuthal internal waves in the \(f\)-plane ⋮ A weighted Sturm-Liouville problem related to Ocean flows ⋮ An exact solution for geophysical internal waves with underlying current in modified equatorial β-plane approximation* ⋮ Mass transport for Pollard waves ⋮ Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces ⋮ Exact azimuthal equatorially trapped waves with centripetal force in modified equatorial \(\beta\)-plane approximation and at arbitrary latitude

Cites Work

• Unnamed Item
• An exact solution for equatorial geophysical water waves with an underlying current
• Instability of equatorial water waves in the \(f\)-plane
• Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
• The trajectories of particles in Stokes waves
• Exact equatorial water waves in the \(f\)-plane
• An exact solution for geophysical edge waves in the \(f\)-plane approximation
• Particle trajectories in linear deep-water waves
• Particle trajectories in linear water waves
• Instability of internal equatorial water waves
• Instability of equatorial water waves with an underlying current
• Particle trajectories in extreme Stokes waves over infinite depth
• Do we observe Gerstner waves in wave tank experiments?
• On the deep water wave motion
• On Edge Waves in Stratified Water Along a Sloping Beach
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Particle trajectories in extreme Stokes waves
• An exact solution for geophysical equatorial edge waves over a sloping beach
• Lagrangian Fluid Dynamics
• Waves and Mean Flows
• Laboratory observations of mean flows under surface gravity waves
• The trajectories of particles in deep-water Stokes waves
• On the Deep-Water Stokes Wave Flow
• An exact theory of nonlinear waves on a Lagrangian-mean flow
• A Modern Introduction to the Mathematical Theory of Water Waves
• Edge waves along a sloping beach
• Particle Trajectories in Linearized Irrotational Shallow Water Flows
• On Gerstner's Water Wave
• Exact geophysical waves in stratified fluids
• Mass transport in water waves
• The dynamics of waves interacting with the Equatorial Undercurrent

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