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We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wave spectrum in the capillary regime at a…

Fluid Dynamics · Physics 2011-07-14 Eric Falcon , Claude Laroche

We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

Chaotic Dynamics · Physics 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

Recently, there is much interest in droplet condensation on soft or liquid/liquid-like substrates. Droplets can deform soft and liquid interfaces resulting in a wealth of phenomena not observed on hard, solid surfaces (e.g., increased…

Soft Condensed Matter · Physics 2023-11-14 Marcus Lin , Philseok Kim , Sankara Arunachalam , Rifan Hardian , Solomon Adera , Joanna Aizenberg , Xi Yao , Dan Daniel

We report a laboratory investigation of weak turbulence of water surface waves in the gravity-capillary crossover. By using time-space resolved profilometry and a bicoherence analysis, we observe that the nonlinear processes involve 3-wave…

Chaotic Dynamics · Physics 2015-06-24 Quentin Aubourg , Nicolas Mordant

We study the statistical properties of an ensemble of weak gravitational waves interacting nonlinearly in a flat space-time. We show that the resonant three-wave interactions are absent and develop a theory for four-wave interactions in a…

General Relativity and Quantum Cosmology · Physics 2017-12-06 S. Galtier , S. V. Nazarenko

We present a control-volume approach for deriving a simplified model for the gravity-driven flow of an axisymmetric liquid film along a vertical fiber. The model accounts for gravitational, viscous, inertial and surface tension effects and…

Fluid Dynamics · Physics 2021-04-14 Y. Ruan , A. Nadim , L. Duvvoori , M. Chugunova

The motion of both internal and surface waves in incompressible fluids under capillary and gravity forces is a major research topic. In particular, we review the derivation of some new models describing the dynamics of gravity-capillary…

Analysis of PDEs · Mathematics 2022-01-03 Rafael Granero-Belinchón

Self-propelled particles can exhibit surprising non-equilibrium behaviors, and how they interact with obstacles or boundaries remains an important open problem. Here we show that chemically propelled micro-rods can be captured, with little…

Soft Condensed Matter · Physics 2014-02-21 Daisuke Takagi , Jeremie Palacci , Adam B. Braunschweig , Michael J. Shelley , Jun Zhang

The problem about a body in a three dimensional infinite channel is considered in the framework of the theory of linear water-waves. The body has a rough surface characterized by a small parameter $\epsilon>0$ while the distance of the body…

Spectral Theory · Mathematics 2012-01-11 G. Cardone , T. Durante , S. A. Nazarov

We study the influence of capillary effects on the motion of thin elastic plates denser than water drifting in propagating surface gravity waves. Such floaters experience a mean angular drift that rotates them toward two preferential…

Fluid Dynamics · Physics 2026-04-28 Basile Dhote , Ewen Le Ster , Wietze Herreman , Frédéric Moisy

Using Brownian dynamics simulations, density functional theory, and analytical perturbation theory we study the collapse of a patch of interfacially trapped, micrometer-sized colloidal particles, driven by long-ranged capillary attraction.…

Soft Condensed Matter · Physics 2011-09-20 J. Bleibel , S. Dietrich , A. Dominguez , M. Oettel

The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. It is proved that no small-amplitude waves are supported by a horizontal shear flow whose free surface is still…

Mathematical Physics · Physics 2015-06-11 Vladimir Kozlov , Nikolay Kuznetsov

We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal interaction with a strong low-frequency component. The latter…

Fluid Dynamics · Physics 2024-09-05 A. O. Korotkevich , S. V. Nazarenko , Y. Pan , J. Shatah

We use molecular dynamics simulations to study the formation of surface waves in vertically vibrated granular material. We find that horizontal movements of particles, which are essential for the formation of the waves, consist of two…

Statistical Mechanics · Physics 2009-10-31 Jysoo Lee

We numerically study the dynamics of a passive fluid droplet confined within a microchannel whose walls are covered with a thin layer of active gel. The latter represents a fluid of extensile material modelling, for example, a suspension of…

Soft Condensed Matter · Physics 2023-08-10 A. Tiribocchi , M. Durve , M. Lauricella , A. Montessori , S. Succi

Infra-gravity waves are generally known as small-amplitude waves of periods between 25 seconds and 5 minutes. They originate from the presence of wave groups in the open ocean waves and can move freely after being released near the surf…

Geophysics · Physics 2023-09-06 Andreas Bondehagen , Henrik Kalisch , Volker Roeber

We experimentally assess the capabilities of an active, open-loop technique for drag reduction in turbulent wall flows recently introduced by Quadrio et al. [J. Fluid Mech., v.627, 161, (2009)]. The technique consists in generating…

Fluid Dynamics · Physics 2015-05-19 Franco Auteri , Arturo Baron , Marco Belan , Gabriele Campanardi , Maurizio Quadrio

Density-wave fronts in a vibrofluidized wet granular layer undergoing a gas-liquid-like transition are investigated experimentally. The threshold of the instability is governed by the amplitude of the vertical vibrations. Fronts, which are…

Soft Condensed Matter · Physics 2017-05-09 Andreas Zippelius , Kai Huang

Capillary forces guide the motion of biomolecular condensates, water-borne insects, and breakfast cereal. These surface-mediated interactions can be harnessed to build units into materials with exotic properties deriving from mesoscale…

Soft Condensed Matter · Physics 2025-07-22 Anshu Thapa , Robert Malinowski , Matthew O. Blunt , Giorgio Volpe , Joe Forth

We consider the global bifurcation problem for spatially periodic traveling waves for two-dimensional gravity-capillary vortex sheets. The two fluids have arbitrary constant, non-negative densities (not both zero), the gravity parameter can…

Analysis of PDEs · Mathematics 2014-12-30 David M. Ambrose , Walter A. Strauss , J. Douglas Wright
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