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In this paper, we investigate the wave solutions of a stochastic rotating shallow water model. This approximate model provides an interesting simple description of the interplay between waves and random forcing ensuing either from the wind…

Fluid Dynamics · Physics 2023-05-02 Etienne Mémin , Long Li , Noé Lahaye , Gilles Tissot , Bertrand Chapron

The generation of gravitational waves during inflation due to the non-linear coupling of scalar and tensor modes is discussed. Two methods describing gravitational wave perturbations are used and compared: a covariant and local approach, as…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Bob Osano , Cyril Pitrou , Peter Dunsby , Jean-Philippe Uzan , Chris Clarkson

In this paper, we propose a direct probing method for the inverse problem based on the Eikonal equation. For the Eikonal equation with a point source, the viscosity solution represents the least travel time of wave fields from the source to…

Analysis of PDEs · Mathematics 2023-02-21 Kazufumi Ito , Ying Liang

We consider gravitational wave production due to parametric resonance at the end of inflation, or ``preheating''. This leads to large inhomogeneities which source a stochastic background of gravitational waves at scales inside the comoving…

Astrophysics · Physics 2008-11-26 Richard Easther , John T. Giblin , Eugene A. Lim

This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is first established by using…

Analysis of PDEs · Mathematics 2009-12-16 Xiaodong Liu , Bo Zhang

We demonstrate that induced gravitational waves (IGWs) can naturally emerge within the framework of thermal leptogenesis models, thereby providing a robust probe for exploring this theory at remarkably high energy scales. To illustrate this…

High Energy Physics - Phenomenology · Physics 2025-09-29 Marco Chianese , Guillem Domènech , Theodoros Papanikolaou , Rome Samanta , Ninetta Saviano

We study local radiation magnetohydrodynamic instabilities in static, optically thick, vertically stratified media with constant flux mean opacity. We include the effects of vertical gradients in a horizontal background magnetic field.…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Ted Tao , Omer Blaes

This paper is concerned with the inverse problem to recover the scalar, complex-valued refractive index of a medium from measurements of scattered time-harmonic electromagnetic waves at a fixed frequency. The main results are two…

Numerical Analysis · Mathematics 2017-02-09 Frederic Weidling , Thorsten Hohage

In certain models of conformal gravity, the propagation of gravitational waves is governed by a fourth order scalar partial differential equation. We study the initial value problem for a generalization of this equation, and derive a…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Sanjeev S. Seahra

Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared current of constant vorticity are considered. Using Euler equations, in the shallow water approximation, hyperbolic equations for the surface…

Fluid Dynamics · Physics 2018-07-04 Christian Kharif , Malek Abid

We study the gravitational wave (GW) production induced by the asymmetric jets of gamma-ray bursts (GRBs). The asymmetric jets result in a recoil force acted on the central compact object, whose motion leads to emission of GW. Under…

High Energy Astrophysical Phenomena · Physics 2018-07-25 Shuang Du , Xiao-Dong Li , Yi-Ming Hu , Fang-Kun Peng , Miao Li

We study nonlinear internal gravity waves (IGWs) in the atmosphere. The reductive perturbation method is used to derive a system of two-dimensional nonlinear equations for the envelope of velocity stream function and the mean flow. In the…

Pattern Formation and Solitons · Physics 2023-07-04 Volodymyr M. Lashkin , Oleg K. Cheremnykh

Stochastic gravitational waves can be produced during the preheating when out-of-equilibrium particles are produced with an anisotropic stress-tensor. We discuss the case where these particles carry spin 3/2. We compute the spectrum of the…

High Energy Physics - Phenomenology · Physics 2019-09-11 Karim Benakli , Yifan Chen , Peng Cheng , Gaëtan Lafforgue-Marmet

The power spectrum of a homogeneous and isotropic stochastic variable, characterized by a finite correlation length, does in general not vanish on scales larger than the correlation scale. If the variable is a divergence free vector field,…

Astrophysics · Physics 2008-11-26 Chiara Caprini , Ruth Durrer

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

Internal waves shoaling on the continental slope can break and form materially coherent vortices called boluses. These boluses are able to trap and transport material up the continental slope, yet the global extent of bolus transport is…

Fluid Dynamics · Physics 2020-08-27 Guilherme S. Vieira , Michael R. Allshouse

The high-frequency limit of the Garrett and Munk spectrum of internal waves in the ocean and the observed deviations from it are shown to form a pattern consistent with the predictions of wave turbulence theory. In particular, the high…

Mathematical Physics · Physics 2009-11-10 Yuri V. Lvov , Kurt L. Polzin , Esteban G. Tabak

Our local Hubble volume might be contained within a bubble that nucleated in a false vacuum with only two large spatial dimensions. We study bubble collisions in this scenario and find that they generate gravity waves, which are made…

High Energy Physics - Theory · Physics 2015-06-11 Michael P. Salem , Prashant Saraswat , Edgar Shaghoulian

Strong magnetic fields in the cores of stars are expected to significantly modify the behavior of gravity waves: this is likely the origin of suppressed dipole modes observed in many red giants. However, a detailed understanding of how such…

Solar and Stellar Astrophysics · Physics 2023-05-17 Nicholas Z. Rui , Jim Fuller

Low frequency acoustic wave generation is studied taking into account the effect of stratification, inhomogeneity of background velocity profile and temperature fluctuations. It is shown that for the typical parameters of convective storms…

Astrophysics · Physics 2007-05-23 M. Akhalkatsi , G. Gogoberidze , P. J. Morrison