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We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum…

Fluid Dynamics · Physics 2010-01-13 A. D. Chepelianskii , M. Schindler , F. Chevy , E. Raphaël

We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity. We provide…

Fluid Dynamics · Physics 2016-01-20 Paschalis Karageorgis

Gravitational waves (GWs) are direct probes of cosmological gravity, sensitive to space-time inhomogeneities along their propagation. The presence of massive objects breaks homogeneity and isotropy, allowing for new interactions between…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Nicola Menadeo , Serena Giardino , Miguel Zumalacárregui

Acoustic perturbations in a parallel relativistic flow of an inviscid fluid are considered. The general expression for the frequency of the sound waves in a uniformly (with zero shear) moving medium is derived. It is shown that relativity…

Astrophysics · Physics 2007-05-23 A. D. Rogava , V. I. Berezhiani , S. M. Mahajan

An inertia-gravity wave (IGW) propagating in a vertically sheared, rotating stratified fluid interacts with the pair of inertial levels that surround the critical level. An exact expression for the form of the IGW is derived here in the…

Atmospheric and Oceanic Physics · Physics 2023-07-19 François Lott , Christophe Millet , Jacques Vanneste

The aim of this work is to investigate the interaction of gravity-capillary waves resonantly excited by two moving disturbances along the free surface. The problem is formulated using the full Euler equations and numerical computations are…

Fluid Dynamics · Physics 2021-07-19 M. V. Flamarion , R. Ribeiro-Jr

We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid lid and the lower fluid is bounded below by a flat bottom. We…

Analysis of PDEs · Mathematics 2019-07-24 Dag Nilsson

We develop three asymptotic models of surface waves in a non-newtonian fluid with odd viscosity. This viscosity is also known as Hall viscosity and appears in a number of applications such as quantum Hall fluids or chiral active fluids.…

Analysis of PDEs · Mathematics 2022-04-13 Rafael Granero-Belinchón , Alejandro Ortega

We derive consistent equations for gravitational wave oscillations in bigravity. In this framework a second dynamical tensor field is introduced in addition to General Relativity and coupled such that one massless and one massive linear…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Kevin Max , Moritz Platscher , Juri Smirnov

In this experimental study, we investigate the interaction of gravity-capillary solitary waves generated by two surface pressure sources moving side by side at constant speed. The nonlinear response of a water surface to a single source…

Fluid Dynamics · Physics 2017-02-13 Naeem Masnadi , James H. Duncan

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Macarena Lagos

We consider the interactions of a strong gravitational wave with electromagnetic fields using the 1+3 orthonormal tetrad formalism. A general system of equations are derived, describing the influence of a plane fronted parallel (pp)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gert Brodin , Mattias Marklund , Peter K. S. Dunsby

We present a numerical study of three-dimensional gravity-capillary standing waves by using cubic and quintic truncated Hamiltonian formulations and the Craig-Sulem expansion of the Dirichlet-Neumann operator (DNO). The resulting models are…

Fluid Dynamics · Physics 2025-12-30 Xin Guan

This paper addresses deep-water gravity waves of finite amplitude generated by an initial disturbance to the water. It is assumed that the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude…

Atmospheric and Oceanic Physics · Physics 2014-08-20 Ilia M. Mindlin

Numerical simulations of the unidirectional random waves are performed within the Korteweg -de Vries equation to investigate the statistical properties of surface gravity waves in shallow water. Nonlinear evolution shows the relaxation of…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Anna Kokorina , Efim Pelinovsky

Traditionally resonant interactions among short waves, with large real wave-numbers, were described statistically and only a small domain in spectral space with integer wave-numbers, discrete resonances, had to be studied separately in…

Mathematical Physics · Physics 2007-05-23 Elena Kartashova

We report the observation of wave turbulence on the surface of a ferrofluid mechanically forced and submitted to a static normal magnetic field. We show that magnetic surface waves arise only above a critical field. The power spectrum of…

Classical Physics · Physics 2008-12-29 François Boyer , Eric Falcon

We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution of vorticity in the sense that the flows consist of two…

Analysis of PDEs · Mathematics 2015-03-05 Calin Iulian Martin , Bogdan-Vasile Matioc

Complete Hamiltonian formalism is suggested for inertial waves in rotating incompressible fluid. Resonance three-wave interaction processes -- decay instability and confluence of two waves -- are shown to play a key role in the weakly…

Fluid Dynamics · Physics 2017-11-22 A. A. Gelash , V. S. L'vov , V. E. Zakharov

In a recent paper, Hur & Wheeler [J. Differential Equations, 338:572-590, 2022] proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow under the influence of gravity. These…

Analysis of PDEs · Mathematics 2025-07-02 Francisco Gonçalves
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