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Internal gravity waves play a primary role in geophysical fluids: they contribute significantly to mixing in the ocean and they redistribute energy and momentum in the middle atmosphere. Until recently, most studies were focused on plane…

Fluid Dynamics · Physics 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

Although internal gravity waves are generally recognized as an important mechanism to distribute energy through the atmosphere, their dynamics near the instability is only partially understood to date. Many types of instabilities, notably…

Fluid Dynamics · Physics 2023-10-02 Georg Sebastian Voelker , Mark Schlutow

This paper presents our investigation into the modification of a finite-width internal gravity wave beam arising from triadic resonance instability. We present both experimental and weakly non-linear modelling to examine this instability…

Fluid Dynamics · Physics 2022-12-21 K. M. Grayson , Stuart B. Dalziel , Andrew G. W. Lawrie

We present an explicit analysis of wave-resonant instability of swirling flows inside fast rotating cylindrical containers. The linear dynamics are decomposed into the interaction between the horizontal inner centrifugal edge waves, the…

Fluid Dynamics · Physics 2017-03-10 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

Wave resonance is the fundamental mechanism of non-linear instabilities of fluid flows, and affects the long-time evolution of fluid motions and other physical problems described by non-linear differential equations. Some significant…

Mathematical Physics · Physics 2011-04-08 Lun-Shin Yao

We show that grains streaming through a fluid are generically unstable if their velocity, projected along some direction, matches the phase velocity of a fluid wave (linear oscillation). This can occur whenever grains stream faster than any…

Earth and Planetary Astrophysics · Physics 2018-04-11 Jonathan Squire , Philip F. Hopkins

Inhomogeneity generated waves, discovered more than a decade ago, play an important role in processes like energy transfer, turbulence generation, heating, etc. To understand the nature of these waves we developed the formalism that looks…

Plasma Physics · Physics 2019-03-14 Edisher Kaghashvili

Triad resonances for gravity waves propagating in opposite direction with respect to uniform current are introduced. They are produced by multivalued and anisotropic dispersion and occur even in deep water. In contrast, existing literature…

Fluid Dynamics · Physics 2020-07-15 David Kouskoulas , Yaron Toledo

We report on laboratory experiments of wave-driven rotating turbulence. A set of wavemakers produces inertial-wave beams that interact nonlinearly in the central region of a water tank mounted on a rotating platform. The forcing thus…

Fluid Dynamics · Physics 2020-10-30 Maxime Brunet , Basile Gallet , Pierre-Philippe Cortet

The problem of internal gravity waves generation by a point source moving in a stratified medium varying with respect to all spatial variables and time is considered. The fact that the characteristic horizontal scales of density variation…

Mathematical Physics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

The internal gravity waves are the oscillations present in the gravitational field of the stratified medium, that is the mediums which density raises with the depth change. If the equilibrium state of the component volume of this medium is…

Fluid Dynamics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov

Internal gravity waves contribute to fluid mixing and energy transport, not only in oceans but also in the atmosphere and in astrophysical bodies. We provide here the first experimental measurement of the growth rate of a resonant triad…

Fluid Dynamics · Physics 2015-06-04 Sylvain Joubaud , James Munroe , Philippe Odier , Thierry Dauxois

It was shown previously that the current-carrying state of a Field Effect Transistor with asymmetric source and drain boundary conditions may become unstable against spontaneous generation of plasma waves [1]. By extending the analysis to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. I. Dyakonov

Geophysical fluids such as the ocean and atmosphere can be stratified: their density depends on the depth. As a consequence, they can host internal gravity waves that propagate in the bulk of the fluid, far from the surface. These waves can…

Atmospheric and Oceanic Physics · Physics 2021-11-16 Sasan J. Ghaemsaidi , Michel Fruchart , Severine Atis

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

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

Compact astrophysical objects that rotate rapidly may encounter the dynamical ``bar instability.'' The bar-like deformation induced by this rotational instability causes the object to become a potentially strong source of gravitational…

Astrophysics · Physics 2010-11-19 Kimberly C. B. New , Joan M. Centrella , Joel E. Tohline

We obtain an expression for the energy of the density wave propagating in a multicomponent gravitating medium in the form well known from electrodynamics. Using the above, the possibility of "triple production" of the quasi-particles, or…

Astrophysics · Physics 2009-11-13 A. S. Kingsep , Yu. A. Fridman

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

We discuss a gravitationally induced nonlinearity in hierarchic systems. We consider the generation of extremely low-frequency radio waves with a frequency of the periodic gravitational radiation; the generation is due to an induced…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. B. Balakin , Z. G. Murzakhanov , G. V. Kisun'ko
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