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We find capillary wave turbulence (WT) to span multiple dynamical regimes and geometries -- from weakly to strongly nonlinear WT (SWT) and from shallow to deep domains -- all within a 40uL volume millifluidic system. This study is made…

Fluid Dynamics · Physics 2023-06-28 Jeremy Orosco , William Connacher , James Friend

In this paper, we consider capillary-gravity waves propagating on the interface separating two fluids of finite depth and constant density. The flow in each layer is assumed to be incompressible and of constant vorticity. We prove the…

Analysis of PDEs · Mathematics 2022-08-18 Daniel Sinambela

A direct numerical simulation of the interaction of plane capillary waves on the surface of a liquid dielectric in an external tangential electric field taking into account viscous forces has been performed. It has been shown that the…

Fluid Dynamics · Physics 2019-04-18 Evgeny A. Kochurin

This review paper is devoted to a presentation of recent progress in wave turbulence. I first present the context and state of the art of this field of research both experimentally and theoretically. I then focus on the case of wave…

Fluid Dynamics · Physics 2010-05-05 Eric Falcon

Wave turbulence in quasi-1D geometry is usually not investigated experimentally since low-order resonant wave interactions are theoretically prohibited. Here, we report on the first observation of unidirectional capillary-wave turbulence on…

Fluid Dynamics · Physics 2021-10-05 Guillaume Ricard , Eric Falcon

We investigate experimentally turbulence of surface gravity waves in the Coriolis facility in Grenoble by using both high sensitivity local probes and a time and space resolved stereoscopic reconstruction of the water surface. We show that…

Fluid Dynamics · Physics 2019-02-22 Antoine Campagne , Roumaissa Hassaini , Ivan Redor , Joel Sommeria , Nicolas Mordant

In the present study, we revisit the theme of wave propagation in locally resonant granular crystal systems, also referred to as Mass-in-Mass systems. We use 3 distinct approaches to identify relevant traveling waves. The first consists of…

Pattern Formation and Solitons · Physics 2015-06-23 H. Xu , P. G. Kevrekidis , A. Stefanov

We study exact four-wave resonances among gravity water waves in a square box with periodic boundary conditions. We show that these resonant quartets are linked with each other by shared Fourier modes in such a way that they form…

Exactly Solvable and Integrable Systems · Physics 2009-02-18 Elena Kartashova , Sergey Nazarenko , Oleksii Rudenko

Gravitational waves, although generally associated with extremely microscopic effects, can displace by hundreds of kilometers the pulsar interstellar scintillation patterns that bathe the Earth. The combination of the pulsar and the…

Astrophysics · Physics 2008-02-03 Redouane Fakir

The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Mikel Martin Barandiaran , Sachiko Kuroyanagi , Savvas Nesseris

We experimentally investigate the effects of finite-system size on the dynamics of weakly nonlinear random gravity-capillary surface waves. Experiments are conducted in rectangular tanks with varying aspect ratios, in which the fluid…

Fluid Dynamics · Physics 2026-02-10 Tanu Singla , Jean-Baptiste Gorce , Eric Falcon

The revolution of helio- and asteroseismology provides access to the detailed properties of stellar interiors by studying the star's oscillation modes. Among them, gravity (g) modes are formed by constructive interferences between…

Solar and Stellar Astrophysics · Physics 2015-09-23 L. Alvan , A. Strugarek , A. S. Brun , S. Mathis , R. A. Garcia

The interaction between gravitational and electromagnetic radiation has a rather long research history. It is well known, in particular, that gravity-wave distortions can drive propagating electromagnetic signals. Since forced oscillations…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Christos G. Tsagas

In this paper, the effect of weak nonlinearities in 1D locally resonant metamaterials is investigated via the method of multiple scales. Commonly employed to the investigate the effect of weakly nonlinear interactions on the free wave…

Applied Physics · Physics 2018-12-17 P. B. Silva , M. J. Leamy , M. G. D. Geers , V. G. Kouznetsova

We study the interaction of surface acoustic waves (SAWs) with the contact-based, axial vibrational resonance of 1 \mu m silica microspheres forming a two-dimensional granular crystal adhered to a substrate. The laser-induced transient…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 N. Boechler , J. K. Eliason , A. Kumar , A. A. Maznev , K. A. Nelson , N. Fang

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

We report the observation of gravity-capillary waves on a torus of fluid. By means of an original technique, a stable torus is achieved by depositing water on a superhydrophobic groove with a shallow wedge-shaped channel running along its…

Pattern Formation and Solitons · Physics 2021-10-13 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

Fluid Dynamics · Physics 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, we find the exact solutions of the…

Mathematical Physics · Physics 2011-06-21 Delia Ionescu-Kruse

We report the observation of the cross-over between gravity and capillary wave turbulence on the surface of mercury. The probability density functions of the turbulent wave height are found to be asymmetric and thus non Gaussian. The…

Other Condensed Matter · Physics 2016-08-16 Eric Falcon , Claude Laroche , Stéphan Fauve
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