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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…

流体动力学 · 物理学 2010-05-05 Eric Falcon

The claim by He et al. [Physical Review Letters 108, 024502 (2012)] that their experiment reached the 'ultimate' regime of turbulent Rayleigh-B\'enard convection is not justified by their data.

流体动力学 · 物理学 2020-05-08 Charles R. Doering

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

流体动力学 · 物理学 2021-07-09 Eric Falcon , Nicolas Mordant

We present a link between the theory of deep water waves and that of bubble surface perturbations. Theory correspondence is shown analytically for small wavelengths in the linear regime and investigated numerically in the nonlinear regime.…

流体动力学 · 物理学 2021-09-01 Peleg Emanuel , Alexander Feigel

This paper introduces a measure or statistics invariant through the flow of the Benjamin-Bona-Mahony equation and studies its stability, regarding a specific class of perturbation and in the idea of the wave turbulence theory.

数学物理 · 物理学 2014-03-11 Anne-Sophie de Suzzoni

A novel mathematical nonlinear theory of surface gravity waves in deep water is presented, in which analytical analysis of the classical nonlinear equations of fluid dynamics is performed under less restrictive assumptions than those…

流体动力学 · 物理学 2022-02-24 Ilia Mindlin

The nonlinear two-dimensional problem, describing periodic steady waves on water of finite depth is considered in the absence of surface tension. It is reduced to a single pseudo-differential operator equation (Babenko's equation), which is…

偏微分方程分析 · 数学 2018-05-17 Nikolay Kuznetsov , Evgueni Dinvay

We analyze the scepticism on the hydrodynamic turbulence in Keplerian astrophysical disks expressed in Balbus and Hawley 2006 and show the failure of arguments of the paper.

天体物理学 · 物理学 2007-05-23 G. D. Chagelishvili , A. G. Tevzadze

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…

流体动力学 · 物理学 2015-05-18 Eric Falcon , S. G. Roux , Claude Laroche

Using the FLUIDICS (Fluid Dynamics in Space) experiment in the International Space Station, turbulence of capillary waves at the air-water interface is experimentally investigated in weightlessness. Capillary waves are excited in a…

流体动力学 · 物理学 2020-06-14 Michael Berhanu , Eric Falcon , Guillaume Michel , Christophe Gissinger , Stéphan Fauve

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…

混沌动力学 · 物理学 2009-11-11 Petr Denissenko , Sergei Lukaschuk , Sergey Nazarenko

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many physical systems across various disciplines, from tiny laboratory scales to geophysical and astrophysical ones. The notion of turbulence in the…

The field of quantum turbulence is related to the manifestation of turbulence in quantum fluids, such as liquid helium and ultracold gases. The concept of turbulence in quantum systems was conceived more than 70 years ago by Onsager and…

量子气体 · 物理学 2020-08-27 L. Madeira , A. Cidrim , M. Hemmerling , M. A. Caracanhas , F. E. A. dos Santos , V. S. Bagnato

This chapter reviews the recent progress made mainly during the last two decades on wave turbulence in magnetized plasmas (MHD, Hall MHD and electron MHD) in the incompressible and compressible cases. The emphasis is made on homogeneous and…

太阳与恒星天体物理 · 物理学 2015-03-19 Sebastien Galtier

In a recent paper, Hur & Wheeler [J. Differential Equations, 338:572-590, 2022] proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow under the influence of gravity. These…

偏微分方程分析 · 数学 2025-07-02 Francisco Gonçalves

Turbulence is a ubiquitous phenomenon in space and astrophysical plasmas, driving a cascade of energy from large to small scales and strongly influencing the plasma heating resulting from the dissipation of the turbulence. Modern theories…

等离子体物理 · 物理学 2015-06-11 G. G. Howes , D. J. Drake , K. D. Nielson , T. A. Carter , C. A. Kletzing , F. Skiff

The stability of an exponential current in water to infinitesimal perturbations in the presence of gravity and capillarity is investigated. Some new results on the generation of gravity-capillary waves are presented which supplement the…

流体动力学 · 物理学 2023-05-23 Malek Abid , Christian Kharif

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Capillary waves are perhaps the simplest example to consider for an introduction to wave turbulence. Since the first paper by Zakharov and Filonenko (1967), capillary wave turbulence has been the subject of many studies but a didactic…

流体动力学 · 物理学 2021-06-09 Sebastien Galtier

We consider Brownian particles immersed in the fluid which flow is turbulent. We study the limit where the particles' inertia is weak and their velocity relaxes fast to the velocity of the flow. The trajectories of the particles in this…

混沌动力学 · 物理学 2011-10-25 Itzhak Fouxon , Eugene Mednikov
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