Recovery of steady periodic wave profiles from pressure measurements at the bed

D Clamond, A Constantin - Journal of Fluid Mechanics, 2013 - cambridge.org
We derive an equation relating the pressure at the flat bed and the profile of an irrotational
steady water wave, valid for all classical solutions of the governing equations for water …

Relating the bottom pressure and the surface elevation in the water wave problem

B Deconinck, KL Oliveras, V Vasan - Journal of Nonlinear …, 2012 - World Scientific
An overview is presented of recent progress on the relation between the pressure at the
bottom of the flat water bed and the elevation of the free water boundary within the context of …

On the recovery of solitary wave profiles from pressure measurements

A Constantin - Journal of fluid mechanics, 2012 - cambridge.org
On the recovery of solitary wave profiles from pressure measurements Page 1 J. Fluid Mech.
(2012), vol. 699, pp. 376–384. c Cambridge University Press 2012 376 doi:10.1017/jfm.2012.114 …

On the pressure transfer function for solitary water waves with vorticity

D Henry - Mathematische Annalen, 2013 - Springer
In this paper we analyse the role which the pressure function on the sea-bed plays in
determining solitary waves with vorticity. We prove that the pressure function on the flat bed …

The pressure in a deep-water Stokes wave of greatest height

T Lyons - Journal of Mathematical Fluid Mechanics, 2016 - Springer
In this paper we investigate the qualitative behaviour of the pressure function beneath an
extreme Stokes wave over infinite depth. The presence of a stagnation point at the wave …

Unique determination of stratified steady water waves from pressure

RM Chen, S Walsh - Journal of Differential Equations, 2018 - Elsevier
Consider a two-dimensional stratified solitary wave propagating through a body of water that
is bounded below by an impermeable ocean bed. In this work, we study how such a wave …

Recovery of traveling water waves with smooth vorticity from the horizontal velocity on a line of symmetry for various wave regimes

D Böhme, BV Matioc - Nonlinear Dispersive Waves: Based on the 2023 …, 2024 - Springer
In the general context of rotational water waves with a given smooth vorticity, it is shown that
the wave profile can be recovered from the horizontal component of the velocity field on a …

[PDF][PDF] Recovering surface profiles of solitary waves on a uniform stream from pressure measurements

HC Hsu - Discrete Contin. Dyn. Syst. Ser. A, 2014 - researchgate.net
In this paper, we derive an explicit formula that permits to recover the free surface wave
profile of an irrotational solitary wave with a uniform underlying current from pressure data …

Recovery of Stokes waves from velocity measurements on an axis of symmetry

BV Matioc - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
We provide a new method to recover the profile of Stokes waves, and more generally of
waves with smooth vorticity, from measurements of the horizontal velocity component on a …

Reconstruction of stratified steady water waves from pressure readings on the ocean bed

RM Chen, S Walsh - arXiv preprint arXiv:1502.07775, 2015 - arxiv.org
Consider a two-dimensional stratified solitary wave propagating through a body of water that
is bounded below by an impermeable ocean bed. In this work, we study how such a wave …