Pressure in a deep-water Stokes wave

DOI10.1007/S00021-009-0015-0zbMath1270.76014OpenAlexW2024447323MaRDI QIDQ361120

David Henry

Publication date: 28 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00021-009-0015-0

zbMATH Keywords

harmonic analysishodograph transformStokes wavedeep waterpressure function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (18)

Pressure transfer functions for interfacial fluids problems ⋮ The pressure distribution in extreme Stokes waves ⋮ The pressure in a deep-water Stokes wave of greatest height ⋮ Irrotational two-dimensional free-surface steady water flows over a flat bed with underlying currents ⋮ Monotonicity of horizontal fluid velocity and pressure gradient distribution beneath equatorial Stokes waves ⋮ Analytical approximation and numerical simulations for periodic travelling water waves ⋮ The dynamic pressure in deep-water extreme Stokes waves ⋮ Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed ⋮ Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth ⋮ On the pressure transfer function for solitary water waves with vorticity ⋮ A new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth ⋮ Particle trajectories in extreme Stokes waves over infinite depth ⋮ On free surfaces in hydrostatic flows ⋮ Solitary water waves propagating on an underlying uniform current over a finite depth ⋮ Mean velocities in an irrotational equatorial wind wave ⋮ Extreme water-wave profile recovery from pressure measurements at the seabed ⋮ Variational derivation of two-component Camassa–Holm shallow water system ⋮ Regularity results for deep-water waves with Hölder continuous vorticity

Cites Work

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• The trajectories of particles in Stokes waves
• Bounds for water waves
• Stokes waves
• Symmetry of steady periodic gravity water waves with vorticity
• Symmetry of steady deep-water waves with vorticity
• The trajectories of particles in deep-water Stokes waves
• Stability properties of steady water waves with vorticity
• On the Deep-Water Stokes Wave Flow
• A Modern Introduction to the Mathematical Theory of Water Waves
• Exact steady periodic water waves with vorticity
• Symmetry of steady periodic surface water waves with vorticity
• Pressure beneath a Stokes wave

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