Pressure beneath a Stokes wave
From MaRDI portal
Publication:5190479
DOI10.1002/cpa.20299zbMath1423.76061OpenAlexW1987573915WikidataQ58869988 ScholiaQ58869988MaRDI QIDQ5190479
Adrian Constantin, Walter A. Strauss
Publication date: 18 March 2010
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.20299
Related Items
Steady water waves ⋮ Analyticity of Rotational Water Waves ⋮ A Hamiltonian approach to wave-current interactions in two-layer fluids ⋮ On the particle paths in solitary water waves ⋮ Traveling water waves — the ebb and flow of two centuries ⋮ Resonant interactions of rotational water waves in the equatorial f-plane approximation ⋮ On the particle motion in geophysical deep water waves traveling over uniform currents ⋮ Wave height estimates from pressure and velocity data at an intermediate depth in the presence of uniform currents ⋮ On three-dimensional Gerstner-like equatorial water waves ⋮ On the short-wavelength stabilities of some geophysical flows ⋮ Analytical approximation and numerical simulations for periodic travelling water waves ⋮ The dynamic pressure in deep-water extreme Stokes waves ⋮ Capturing the flow beneath water waves ⋮ Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed ⋮ Dynamic-pressure distributions under Stokes waves with and without a current ⋮ Nonlinear water waves: introduction and overview ⋮ Edge waves with longshore currents ⋮ General procedure for free-surface recovery from bottom pressure measurements: application to rotational overhanging waves ⋮ Stagnation Points Beneath Rotational Solitary Waves in Gravity-Capillary Flows ⋮ Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows ⋮ A Survival Kit in Phase Plane Analysis: Some Basic Models and Problems ⋮ Smooth stationary water waves with exponentially localized vorticity ⋮ The stability of capillary waves on fluid sheets ⋮ Flow structure beneath rotational water waves with stagnation points ⋮ Progressive flexural–gravity waves with constant vorticity ⋮ Weakly nonlinear transient waves on a shear current: ring waves and skewed Langmuir rolls ⋮ On the existence of two-dimensional irrotational water waves over finite depth with uniform current ⋮ Introduction ⋮ On rotational flows with discontinuous vorticity beneath steady water waves near stagnation ⋮ Extreme water-wave profile recovery from pressure measurements at the seabed ⋮ Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces ⋮ Internal equatorial water waves in the f−plane ⋮ Particle paths in Stokes’ edge wave ⋮ On Pollard's wave solution at the Equator ⋮ Numerical investigations of two-dimensional irrotational water waves over finite depth with uniform current ⋮ High-frequency instabilities of Stokes waves ⋮ A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude ⋮ On the existence of non-flat profiles for a Bernoulli free boundary problem ⋮ Pressure transfer functions for interfacial fluids problems ⋮ On irrotational flows beneath periodic traveling equatorial waves ⋮ Exact and explicit internal equatorial water waves with underlying currents ⋮ Exact nonlinear internal equatorial waves in the \(f\)-plane ⋮ Instability of equatorially trapped waves in stratified water ⋮ Global bifurcation of irrotational water waves using a flow force formulation ⋮ Lagrangian description of gravity-capillary waves propagating on a sloping bottom ⋮ Travelling wave solutions for some two-component shallow water models ⋮ The pressure distribution in extreme Stokes waves ⋮ On the regularity of deep-water waves with general vorticity distributions ⋮ The pressure in a deep-water Stokes wave of greatest height ⋮ Linear stability of exact solutions for the generalized Kaup-Boussinesq equation and their dynamical evolutions ⋮ Particle paths in equatorial flows ⋮ On the mathematical description of time-dependent surface water waves ⋮ A complex-analytic approach to kinetic energy properties of irrotational traveling water waves ⋮ 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 ⋮ Estimation of wave heights from pressure data at the bed in the presence of uniform underlying currents ⋮ Pressure in a deep-water Stokes wave ⋮ 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 ⋮ Bottom pressure distribution under a solitonic wave reflecting on a vertical wall ⋮ On the time evolution of the velocity in equatorial ocean waves approaching breaking ⋮ Dispersion relations for gravity water flows with two rotational layers ⋮ Asymptotic expansions for steady periodic water waves in flows with constant vorticity ⋮ Explicit solutions for a long-wave model with constant vorticity ⋮ The pressure field beneath intense surface water wave groups ⋮ On the use of linear theory to estimate bottom pressure distribution under nonlinear surface waves ⋮ A numerical continuation approach for computing water waves of large wave height ⋮ Global bifurcation of steady gravity water waves with critical layers ⋮ Remarks on Bernoulli constants, gauge conditions and phase velocities in the context of water waves ⋮ A dispersive model for undular bores ⋮ Steady water waves with multiple critical layers: interior dynamics ⋮ An exact solution for geophysical edge waves in the \(\beta\)-plane approximation ⋮ Gerstner's water wave and mass transport ⋮ Exact equatorial water waves in the \(f\)-plane ⋮ A new Lagrangian asymptotic solution for gravity-capillary waves in water of finite depth ⋮ On some background flows for tsunami waves ⋮ Resonant interactions of capillary-gravity water waves ⋮ Approximations of steady periodic water waves in flows with constant vorticity ⋮ Global bifurcation structure and some properties of steady periodic water waves with vorticity ⋮ Mean velocities in a Stokes wave ⋮ Complex flow structures beneath rotational depression solitary waves in gravity-capillary flows ⋮ On the particle paths and the stagnation points in small-amplitude deep-water waves ⋮ Local bifurcation for steady periodic capillary water waves with constant vorticity ⋮ On the decrease of kinetic energy with depth in wave-current interactions ⋮ On stratified steady periodic water waves with linear density distribution and stagnation points ⋮ Analyticity of periodic traveling free surface water waves with vorticity ⋮ Recovering surface profiles of solitary waves on a uniform stream from pressure measurements ⋮ Small-amplitude equatorial water waves with constant vorticity: dispersion relations and particle trajectories ⋮ On the nature of large and rogue waves ⋮ Particle trajectories in extreme Stokes waves over infinite depth ⋮ Dispersion relations for periodic water waves with surface tension and discontinuous vorticity ⋮ A boundary integral formulation for particle trajectories in Stokes waves ⋮ Progressive waves on a blunt interface ⋮ Internal Gerstner waves on a sloping bed ⋮ Pressure beneath a traveling wave with constant vorticity ⋮ Instability of edge waves along a sloping beach ⋮ Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results ⋮ Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity ⋮ Stability of periodic gravity waves in the presence of surface tension ⋮ Particle trajectories for waves on a linear shear current ⋮ Recovery of the wave profile for irrotational periodic water waves from pressure measurements ⋮ Instability of equatorial water waves in the \(f\)-plane ⋮ Steady periodic flow induced by the Korteweg-de Vries equation ⋮ Short-wavelength instabilities of edge waves in stratified water ⋮ Dispersion relations for rotational gravity water flows having two jumps in the vorticity distribution ⋮ Large-amplitude steady downstream water waves ⋮ Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves ⋮ Instability of geophysical flows at arbitrary latitude ⋮ Solitary water waves propagating on an underlying uniform current over a finite depth ⋮ Exact azimuthal internal waves with an underlying current ⋮ Qualitative description of the particle trajectories for the \(N\)-solitons solution of the Korteweg-de Vries equation ⋮ Mean velocities in an irrotational equatorial wind wave ⋮ Particle paths in small amplitude solitary waves with negative vorticity ⋮ Instability of internal equatorial water waves ⋮ An exact solution for nonlinear internal equatorial waves in the \(f\)-plane approximation ⋮ Instability of equatorial water waves with an underlying current ⋮ On the decrease of velocity with depth in irrotational periodic water waves ⋮ Stokes waves with vorticity ⋮ On particle trajectories in linear water waves ⋮ Pressure beneath a solitary water wave: mathematical theory and experiments ⋮ Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves ⋮ Steady periodic water waves with constant vorticity: Regularity and local bifurcation ⋮ Harmonic maps and ideal fluid flows ⋮ Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train ⋮ Capillary-gravity water waves with discontinuous vorticity: existence and regularity results ⋮ A flow force reformulation of steady periodic fixed-depth irrotational equatorial flows ⋮ Some nonlinear internal equatorial flows ⋮ An exact solution for equatorial waves ⋮ Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity ⋮ On some properties of velocity field for two dimensional rotational steady water waves ⋮ Velocity and pressure in rear-end collisions between two solitary waves with and without an underlying current ⋮ Steady periodic waves bifurcating for fixed-depth rotational flows ⋮ Gouyon waves in water of finite depth ⋮ Velocity field and pressure analysis of equatorial flows beneath solitary water waves ⋮ Some nonlinear internal equatorial waves with a strong underlying current ⋮ Extrema of the dynamic pressure in a solitary wave ⋮ On the existence of solutions and the pressure function related to the antarctic circumpolar current
Cites Work
- Unnamed Item
- Unnamed Item
- The trajectories of particles in Stokes waves
- Bounds for water waves
- On the Stokes conjecture for the wave of extreme form
- Convexity of Stokes waves of extreme form
- Symmetry of steady periodic gravity water waves with vorticity
- Some geometric and analytic properties of solutions of Bernoulli free-boundary problems
- A variational principle for waves of infinite depth
- An experimental study of two-dimensional surface water waves propagating on depth-varying currents. Part 1. Regular waves
- On the streamlines and particle paths of gravitational water waves
- Effect of vorticity on steady water waves
- Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth
- The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
- A Modern Introduction to the Mathematical Theory of Water Waves
- Exact steady periodic water waves with vorticity
- A Proof of the Stokes Conjecture in the Theory of Surface Waves*
- Particle trajectories in solitary water waves
- A Note on Harmonic Functions and a Hydrodynamical Application