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The planetary restricted three-body problem (RTBP) is considered. The primary mass M is much more than another masses mj, i=1..N, which revolve around M. The massless probe particle m moves on elliptic orbit, is perturbed by mj. It is well…

动力系统 · 数学 2007-05-23 A. E. Rosaev

We study the modulational instability of geophysical Rossby and plasma drift waves within the Charney-Hasegawa-Mima (CHM) model both theoretically, using truncated (four-mode and three-mode) models, and numerically, using direct simulations…

混沌动力学 · 物理学 2011-05-24 Colm Connaughton , Balu Nadiga , Sergey Nazarenko , Brenda Quinn

We present an investigation of rapidly rotating (small Rossby number $Ro\ll 1$) and stratified turbulence where the stratification strength is varied from weak (large Froude number $Fr\gg1$) to strong ($Fr\ll1$). The investigation is set in…

流体动力学 · 物理学 2016-08-24 David Nieves , Ian Grooms , Keith Juilen , Jeffrey B. Weiss

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

大气与海洋物理 · 物理学 2016-07-20 Eric Danioux , Jacques Vanneste

The equations that govern the weakly nonlinear near-resonant interaction of a parent magnetorotational instability with two linearly stable daughter modes in thin nonuniform magnetized Keplerian discs are derived. While the equations for…

等离子体物理 · 物理学 2014-08-28 Yuri Shtemler , Michael Mond , Edward Liverts

Direct numerical simulations of three-dimensional (3D) homogeneous turbulence under rapid rigid rotation are conducted to examine the predictions of resonant wave theory for both small Rossby number and large Reynolds number. The simulation…

混沌动力学 · 物理学 2009-11-10 Q. Chen , S. Chen , G. L. Eyink , D. D. Holm

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…

流体动力学 · 物理学 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

Using a suite of self-gravitating, collisionless N-body models, we systematically explore a parameter space relevant to the onset and behavior of the radial orbit instability (ROI), whose strength is measured by the systemic axis ratios of…

宇宙学与河外天体物理 · 物理学 2015-05-14 Eric I. Barnes , Paul A. Lanzel , Liliya L. R. Williams

We study the inertial modes of slowly rotating, fully relativistic compact stars. The equations that govern perturbations of both barotropic and non-barotropic models are discussed, but we present numerical results only for the barotropic…

广义相对论与量子宇宙学 · 物理学 2009-11-07 K. H. Lockitch , J. L. Friedman , N. Andersson

We present a theoretical attack on the classical problem of intermittency and anomalous scaling in turbulence. Our focus is on an ideal situation: high Reynolds number isotropic turbulence driven by steady large scale forcing. Moreover, the…

流体动力学 · 物理学 2007-05-23 Mogens V Melander

We highlight a non-canonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in non-isotropic systems, including internal gravity waves on a vertical plane, inertial and Rossby waves.…

流体动力学 · 物理学 2025-10-14 Michal Shavit , Oliver Bühler , Jalal Shatah

Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

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…

流体动力学 · 物理学 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

Attempts to understand the dynamics of warped astrophysical discs have garnered significant attention, largely motivated by the growing catalogue of observed distorted systems. Previous studies have shown that the evolution of the warp is…

太阳与恒星天体物理 · 物理学 2023-01-25 Callum W. Fairbairn , Gordon I. Ogilvie

We develop a theory of three-dimensional slow Rossby waves in rotating spherical density stratified convection. The Rossby waves with frequencies which are much smaller than the rotating frequency, are excited by a non-axisymmetric…

流体动力学 · 物理学 2017-09-20 T. Elperin , N. Kleeorin , I. Rogachevskii

Using water/salty-water laboratory experiments}, we investigate the mechanism of erosion by a turbulent jet impinging on a density interface, for moderate Reynolds and Froude numbers. Contrary to previous models involving baroclinic…

流体动力学 · 物理学 2017-02-01 Johann Herault , Giulio Facchini , Michael Le Bars

Ground observatory and satellite-based determinations of temporal variations in the geomagnetic field probe a decadal to annual time scale range where Earth's core slow, inertialess convective motions and rapidly propagating,…

地球物理 · 物理学 2021-02-15 Julien Aubert , Nicolas Gillet

Turbulence generation mechanisms in stratified, rotating flows past three-dimensional (3D) topography remain underexplored, particularly in submesoscale (SMS) regimes critical to geophysical applications. Using turbulence-resolving…

流体动力学 · 物理学 2025-09-09 Jinyuan Liu , Pranav Puthan , Sutanu Sarkar

In an attempt to determine the outer scale of turbulence driven by localized sources, such as supernova explosions in the interstellar medium, we consider a forcing function given by the gradient of gaussian profiles localized at random…

天体物理学 · 物理学 2007-05-23 Antony J. Mee , Axel Brandenburg

The effect of rotation upon the classical two-layer Rayleigh-Taylor instability is considered theoretically and compared with previous experimental results. In particular we consider a two-layer system with an axis of rotation that is…

流体动力学 · 物理学 2016-03-03 Matthew M. Scase , Kyle A. Baldwin , Richard J. A. Hill