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Starting from the fully compressible fluid equations in a plane-parallel atmosphere, we demonstrate that linear internal gravity waves are naturally pseudo-incompressible in the limit that the wave frequency $\omega$ is much less than that…

流体动力学 · 物理学 2023-12-25 Bradley W. Hindman , Keith Julien

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…

可精确求解与可积系统 · 物理学 2009-02-18 Elena Kartashova , Sergey Nazarenko , Oleksii Rudenko

Triadic resonance is one mechanism via which internal waves dissipate their energy, often at locations away from their generation sites. In this paper, we perform a combined theoretical and numerical study of triadic resonance in internal…

流体动力学 · 物理学 2019-10-18 Dheeraj Varma , Vamsi K. Chalamalla , Manikandan Mathur

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…

数学物理 · 物理学 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. W. Moffat , D. C. Tatarski

We study the statistical properties of an ensemble of weak gravitational waves interacting nonlinearly in a flat space-time. We show that the resonant three-wave interactions are absent and develop a theory for four-wave interactions in a…

广义相对论与量子宇宙学 · 物理学 2017-12-06 S. Galtier , S. V. Nazarenko

Internal waves propagate obliquely through a stratified fluid with an angle that is fixed with respect to gravity. Upon reflection on a sloping bed, striking phenomena are expected to occur close to the slope. We present here laboratory…

斑图形成与孤子 · 物理学 2009-11-11 Louis Gostiaux , Thierry Dauxois , Henri Didelle , Joel Sommeria , Samuel Viboud

The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate non-resonant (bound) waves which can be synchronized with…

流体动力学 · 物理学 2018-01-17 A. Slunyaev

We consider the stability of periodic gravity-capillary waves of finite amplitude for small values of the surface tension. Linear stability with respect to both superharmonic and subharmonic perturbations is calculated for each solution,…

流体动力学 · 物理学 2026-04-28 Josh Shelton , Adam Rook

The basic equations governing propagation of electromagnetic and gravitational waves in vacuum are nonlinear. As a consequence photon-photon interaction as well as photon-graviton interaction can take place without a medium. However,…

仪器与探测器 · 物理学 2009-11-10 Gert Brodin , Daniel Eriksson , Mattias Marklund

Building on a previous study that analyses surface waves in magnetic slabs embedded in a non-magnetic external environment, in this study the model is generalised and external magnetic fields are added. The slab is assumed to be thin, with…

太阳与恒星天体物理 · 物理学 2020-07-29 William Oxley , Noémi Kinga Zsámberger , Róbert Erdélyi

The axisymmetric collapse of a cylindrical air cavity in water follows a universal power law with logarithmic corrections. Nonetheless, it has been suggested that the introduction of a small azimuthal disturbance induces a long term memory…

In this paper, we present the first laboratory experiments that show the generation of internal solitary waves by the impingement of a quasi-two-dimensional internal wave beam on a pycnocline. These experiments were inspired by observations…

Gravito-capillary waves at free-surfaces are ubiquitous in several natural and industrial processes involving quiescent liquid pools bounded by cylindrical walls. These waves emanate from the relaxation of initial interface distortions,…

流体动力学 · 物理学 2024-10-07 Lohit Kayal , Vatsal Sanjay , Nikhil Yewale , Anil Kumar , Ratul Dasgupta

We describe an experiment showing a spontaneous symmetry breaking phenomenon between the intensities of the ordinary and extraordinary components of the fundamental field in intracavity type-II harmonic generation. It is based on a triply…

We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface resonance synchronous to the external…

patt-sol · 物理学 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form…

广义相对论与量子宇宙学 · 物理学 2015-06-25 N. J. Cornish , J. W. Moffat , D. C. Tatarski

It is shown that the dynamical evolution of linear perturbations on a static space-time is governed by a constrained wave equation for the extrinsic curvature tensor. The spatial part of the wave operator is manifestly elliptic and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 O. Sarbach , M. Heusler , O. Brodbeck

We show that the self-interactions present in the effective field theory formulation of general relativity can couple gravitational wave modes and generate nonclassical states. The output of gravitational nonlinear processes can also be…

广义相对论与量子宇宙学 · 物理学 2025-12-05 Thiago Guerreiro

A problem of finding the linear theory satisfaction limits in propagation of the internal gravity waves is considered. It is evident that internal gravity waves excitation, propagation in actual practice is highly nonlinear phenomenon.…

流体动力学 · 物理学 2009-11-18 Vitaly V. Bulatov , Yuriy V. Vladimirov