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We report experiments on the full space and time resolved statistics of capillary wave turbulence at the air-water interface. The three-dimensional shape of the free interface is measured as a function of time by using the optical method of…

Fluid Dynamics · Physics 2013-03-18 Michael Berhanu , Eric Falcon

We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid lid and the lower fluid is bounded below by a flat bottom. We…

Analysis of PDEs · Mathematics 2019-07-24 Dag Nilsson

We present an analytical stability theory for the onset of the Faraday instability, applying over a wide frequency range between shallow water gravity and deep water capillary waves. For sufficiently thin fluid layers the surface is…

patt-sol · Physics 2009-10-30 H. W. Mueller , H. Wittmer , C. Wagner , J. Albers , K. Knorr

We generalize the method used by M{\ae}hlen & Seth [17] used to prove the existence of small-amplitude asymmetric solutions to the capillary-gravity Whiham equation, so that it can be applied directly to a class of similar equations. The…

Analysis of PDEs · Mathematics 2024-05-03 Douglas Svensson Seth

We report on the generation of an intermittent wave field driven by a horizontally moving wave maker interacting with Faraday waves. The spectrum of the local gravitocapillary surface wave fluctuations displays a power law in frequency for…

Fluid Dynamics · Physics 2018-04-11 Gustavo Castillo , Claudio Falcón

A continuum-space bead-spring model is used to study the phase behavior of binary blends of homopolymers and the structure of the interface between the two immiscible phases. The structure of the interface is investigated as a function of…

Soft Condensed Matter · Physics 2009-10-30 Martin-D. Lacasse , Gary S. Grest , Alex J. Levine

Plasma confinement inside capillaries has been developed in the past years for plasma-based acceleration to ensure a stable and repeatable plasma density distribution during the interaction with either particles or laser beams. In…

Accelerator Physics · Physics 2018-12-26 F. Filippi , M. P. Anania , A. Biagioni , E. Brentegani , E. Chiadroni , A. Cianchi , M. Ferrario , A. Marocchino , A. Zigler

We consider two-dimensional periodic gravity water waves with constant nonzero vorticity $\gamma$, in infinite depth and with periodic boundary conditions. We prove that, if the characteristic wave number $\frac{\gamma^2}{g}$ is rational,…

Analysis of PDEs · Mathematics 2026-04-10 Beatrice Langella , Alberto Maspero , Federico Murgante , Shulamit Terracina

The nonlinear dynamics of waves at the sea surface is believed to be ruled by the Weak Turbulence framework. In order to investigate the nonlinear coupling among gravity surface waves, we developed an experiment in the Coriolis facility…

We investigate the energy transfer from large waves to small ones through vertical acceleration and demonstrate that this is a much larger effect than that of the potential energy changes of the small waves moving over the larger ones.…

Atmospheric and Oceanic Physics · Physics 2014-09-17 Clifford Chafin

Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices, wherein the particle trajectories are not any more closed…

Mathematical Physics · Physics 2007-12-05 Mats Ehrnstrom , Gabriele Villari

Steady and unsteady linearised flow past a submerged source are studied in the small-surface-tension limit, in the absence of gravitational effects. The free-surface capillary waves generated are exponentially small in the surface tension,…

Fluid Dynamics · Physics 2019-02-20 Christopher J. Lustri , Ravindra Pethiyagoda , S. Jonathan Chapman

In a recent work [1] the authors studied the dynamics of the interface separating a vacuum from an inviscid incompressible fluid, subject to the self-gravitational force and neglecting surface tension, in two space dimensions. The fluid is…

Analysis of PDEs · Mathematics 2015-11-25 Lydia Bieri , Shuang Miao , Sohrab Shahshahani , Sijue Wu

Capillary forces have been measured by Atomic Force Microscopy in the plate-sphere setup between gold, borosilicate glass, GeSbTe, titanium, and UV irradiated amorphous titaniumdioxide surfaces. The force measurements were performed as a…

Materials Science · Physics 2009-11-13 P. J. van Zwol , G. Palasantzas , J. Th. M. De Hosson

Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the…

Atmospheric and Oceanic Physics · Physics 2014-06-09 I. M. Mindlin

We prove a long-term regularity result for three-dimensional gravity water waves with small initial data but nonzero initial vorticity. We consider solutions whose vorticity vanishes on the free boundary and use this to derive a system for…

Analysis of PDEs · Mathematics 2018-12-05 Daniel Ginsberg

We study phase contributions of wave functions that occur in the evolution of Gaussian surface gravity water wave packets with nonzero initial momenta propagating in the presence and absence of an effective external linear potential. Our…

Capillary condensation of water is ubiquitous in nature and technology. It routinely occurs in granular and porous media, can strongly alter such properties as adhesion, lubrication, friction and corrosion, and is important in many…

Mesoscale and Nanoscale Physics · Physics 2020-12-14 Qian Yang , P. Z. Sun , L. Fumagalli , Y. V. Stebunov , S. J. Haigh , Z. W. Zhou , I. V. Grigorieva , F. C. Wang , A. K. Geim

We present experimental results for water wave turbulence excited by piston-like programmed wavemakers in a water flume with horisontal dimensions 6x12x1.5 meters. Our main finding is that for a wide range of excitation amplitudes the…

Chaotic Dynamics · Physics 2009-11-11 Petr Denissenko , Sergei Lukaschuk , Sergey Nazarenko

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin
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