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This paper considers two-dimensional gravity solitary waves moving through a body of density stratified water lying below vacuum. The fluid domain is assumed to lie above an impenetrable flat ocean bed, while the interface between the water…

Analysis of PDEs · Mathematics 2021-07-30 Robin Ming Chen , Samuel Walsh , Miles H. Wheeler

We derive the invariant imbedding equations for plane electromagnetic waves propagating in stratified magnetic media, where both dielectric and magnetic permeabilities vary in one spatial direction in an arbitrary manner. These equations…

Condensed Matter · Physics 2007-05-23 Kihong Kim , H. Lim , Dong-Hun Lee

A formalism is introduced which may describe both standard linearized waves and gravitational waves in Isaacson's high-frequency limit. After emphasizing main differences between the two approximation techniques we generalize the Isaacson…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jiri Podolsky , Otakar Svitek

The question whether gravitational waves are quantised or not can in principle be answered by the help of correlation measurements. If the gravitational waves are quantised and they are generated by the change of the background metrics then…

General Relativity and Quantum Cosmology · Physics 2016-08-31 I. Lovas

A mechanism of excitation of the large-scale inertial waves in a rotating inhomogeneous turbulence due to an excitation of a large-scale instability is found. This instability is caused by a combined effect of the inhomogeneity of the…

Astrophysics · Physics 2009-11-10 T. Elperin , I. Golubev , N. Kleeorin , I. Rogachevskii

We study a class of localized solutions of the wave equation, called eigenwavelets, obtained by extending its fundamental solutions to complex spacetime in the sense of hyperfunctions. The imaginary spacetime variables y, which form a…

Mathematical Physics · Physics 2007-05-23 Gerald Kaiser

The scattering of inertia-gravity waves by large-scale geostrophic turbulence in a rapidly rotating, strongly stratified fluid leads to the diffusion of wave energy on the constant-frequency cone in wavenumber space. We derive the…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Hossein Kafiabad , Miles A. C. Savva , Jacques Vanneste

The evolution of scale-invariant gravity waves from the early universe is analyzed using an equation of state which smoothly interpolates between the radiation dominated era and the present matter dominated era. We find that for large…

Astrophysics · Physics 2009-10-22 K. -W. Ng , A. D. Speliotopoulos

Internal waves, or waves that propagate within a stratified fluid, may break and cause mixing. While each individual mixing event may be small, collectively, internal wave breaking drive processes in the ocean that are critical to…

Wave turbulence is by nature a multiple time scale problem for which there is a natural asymptotic closure. The main result of this analytical theory is the kinetic equation that describes the long-time statistical behaviour of such…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Benoît Gay , Sébastien Galtier

Several mechanisms exist for generating a stochastic background of gravitational waves in the period following inflation. These mechanisms are generally classical in nature, with the gravitational waves being produced from inhomogeneities…

Astrophysics · Physics 2008-11-26 Larry R. Price , Xavier Siemens

The present study focuses on the interaction of gravity waves in the atmosphere with the tropopause. As the vertical extent of the latter is small compared to the density scale height, wave propagation is described by the Taylor-Goldstein…

Atmospheric and Oceanic Physics · Physics 2018-12-21 Christopher Pütz , Mark Schlutow , Rupert Klein , Vera Bense , Peter Spichtinger

We investigate experimentally stratified turbulence forced by waves. Stratified turbulence is present in oceans and it is expected to be dominated by nonlinear interaction of internal gravity waves as described by the Garrett & Munk…

The problem of wave disturbance propagation in rarefied gas in gravity field is explored. The system of hydrodynamic-type equations for a stratified gas in gravity field is derived from BGK equation by method of piecewise continuous…

Fluid Dynamics · Physics 2009-11-10 D. A. Vereshchagin , S. B. Leble , M. A. Solovchuk

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…

Pattern Formation and Solitons · Physics 2009-11-11 Louis Gostiaux , Thierry Dauxois , Henri Didelle , Joel Sommeria , Samuel Viboud

In the framework of Einstein-scalar-Gauss-Bonnet (EsGB) gravity, we systematically study gravitational waves (GWs), first produced by remote compact astrophysical sources and then propagating through the flat homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Jared Fier , Henry Han , Bowen Li , Kai Lin , Shinji Mukohyama , Anzhong Wang

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

Detections of gravitational waves (GWs) since GW150914 has gained a contemporary interest in a potential quantum-classical correspondence between GWs and hypothetical gravitons. One such correspondence theory is stochastic gravity, whereby…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Noah M. MacKay

We investigate the vacuum pp-wave and Aichelburg-Sexl-type solutions in f(R) and the modified Gauss-Bonnet theories of gravity with both minimal and nonminimal couplings between matter and geometry. In each case, we obtain the necessary…

High Energy Physics - Theory · Physics 2012-04-04 Morteza Mohseni

We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu
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