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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

We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal…

Fluid Dynamics · Physics 2007-05-23 A. I. Dyachenko , A. O. Korotkevich , V. E. Zakharov

We report an experimental investigation of the effect of finite depth on the statistical properties of wave turbulence at the surface of water in the gravity-capillary range. We tune the wave dispersion and the level of nonlinearity by…

Fluid Dynamics · Physics 2017-09-15 Roumaissa Hassaini , Nicolas Mordant

We present laboratory experiments on turbulence in a linearly stratified fluid driven by an ensemble of internal gravity waves which approaches statistical homogeneity and axi-symmetry. In a way similar to several recent experimental works,…

Fluid Dynamics · Physics 2023-05-31 Nicolas Lanchon , Daniel Odens Mora , Eduardo Monsalve , Pierre-Philippe Cortet

The goal of this paper is to describe in mathematical terms the effect on the ocean circulation of a random stationary wind stress at the surface of the ocean. In order to avoid singular behaviour, non-resonance hypotheses are introduced,…

Analysis of PDEs · Mathematics 2012-07-03 Anne-Laure Dalibard

We consider one-dimensional model of the interaction between surface and the internal gravity water waves. The internal wave is modeled by its basic form: a non-dispersive field with a horizontal current that is uniform over all depth,…

Atmospheric and Oceanic Physics · Physics 2010-10-12 K. Lossow , N. Lossow

In close exoplanetary systems, tidal interactions drive orbital and spin evolution of planets and stars over long timescales. Tidally-forced inertial waves (restored by the Coriolis acceleration) in the convective envelopes of low-mass…

Solar and Stellar Astrophysics · Physics 2022-08-17 A. Astoul , A. J. Barker

The viscosity of water induces a vorticity near the free surface boundary. The resulting rotational component of the fluid velocity vector greatly complicates the water wave system. Several approaches to close this system have been…

Fluid Dynamics · Physics 2020-06-16 D. Eeltink , A. Armaroli , M. Brunetti , J. Kasparian

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

What do the ocean surface and a swaying flag have in common? Both are deformable surfaces exhibiting chaotic motion when exposed to turbulent flows. Whether such motion is primarily driven by flow turbulence or by nonlinear dynamics…

Fluid Dynamics · Physics 2026-05-25 Giulio Foggi Rota , Andrea Mazzino , Marco Edoardo Rosti

Using standard signal processing tools, we experimentally report that intermittency of wave turbulence on the surface of a fluid occurs even when two typical large-scale coherent structures (gravity wave breakings and bursts of capillary…

Fluid Dynamics · Physics 2015-05-18 Eric Falcon , S. G. Roux , Claude Laroche

The mathematical models and numerical simulations reported here are motivated by satellite observations of horizontal gradients of sea surface temperature and salinity that are closely coordinated with the slowly varying envelope of the…

Atmospheric and Oceanic Physics · Physics 2023-05-10 Darryl D. Holm , Ruiao Hu , Oliver D. Street

The dynamic and thermal regimes of climate are regulated by an exchange of energy and momentum between the atmosphere and the ocean. The role exerted by surface waves on this interchange is particularly enigmatic. Waves induce turbulence in…

Atmospheric and Oceanic Physics · Physics 2019-06-27 Alberto Alberello , Federico Frascoli , Miguel Onorato , Alessandro Toffoli

In the study of weakly turbulent wave systems possessing incomplete self-similarity it is possible to use dimensional arguments to derive the scaling exponents of the Kolmogorov-Zakharov spectra, provided the order of the resonant wave…

Fluid Dynamics · Physics 2009-11-10 Colm Connaughton , Sergey Nazarenko , Alan C. Newell

We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing statistics of weakly nonlinear waves in the infinite basin…

Mathematical Physics · Physics 2009-11-11 Yuri V. Lvov , Sergey Nazarenko , Boris Pokorni

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

Nonlinear interaction and breaking of internal ocean waves are responsible for much of the interior ocean mixing, affecting ocean carbon storage and the global overturning circulation. These interactions may affect the observed Garrett-Munk…

Chaotic Dynamics · Physics 2025-12-16 Golan Bel , Eli Tziperman

We present a derivation using kinetic wave theory of the two-dimensional empirical Garrett--Munk spectrum for ocean internal waves, valid at all frequencies including near-inertial frequencies. This is based directly on the governing…

Fluid Dynamics · Physics 2026-01-06 Michal Shavit , Oliver Bühler , Jalal Shatah

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

Quantifying tidal interactions in close-in two-body systems is of prime interest since they have a crucial impact on the architecture and on the rotational history of the bodies. Various studies have shown that the dissipation of tides in…

Solar and Stellar Astrophysics · Physics 2021-03-24 A. Astoul , J. Park , S. Mathis , C. Baruteau , F. Gallet