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Faraday waves are capillary ripples that form on the surface of a fluid being subject to vertical shaking. Although it is well known that the form and shape of the waves pattern depend on driving amplitude and frequency, only recent studies…

Fluid Dynamics · Physics 2020-08-19 Raffaele Colombi , Michael Schlüter , Alexandra von Kameke

This paper is concerned with two-dimensional, steady, periodic water waves propagating at the free surface of water either in a flow of finite depth and constant vorticity over an impermeable flat bed or in an irrotational flow of great…

Analysis of PDEs · Mathematics 2014-04-25 Peter de Boeck

Capillary waves excited by the vertical oscillations of a thin elongated plate below an air-water interface are analyzed using time-resolved measurements of the surface topography. A parametric instability is observed above a well defined…

Pattern Formation and Solitons · Physics 2015-06-03 F. Moisy , G. -J. Michon , M. Rabaud , E. Sultan

We study traveling wave solutions of an equation for surface waves of moderate amplitude arising as a shallow water approximation of the Euler equations for inviscid, incompressible and homogenous fluids. We obtain solitary waves of…

Classical Analysis and ODEs · Mathematics 2013-12-06 Armengol Gasull , Anna Geyer

First order phase transitions are well-motivated and extensively studied sources of gravitational waves (GWs) from the early Universe. The vacuum energy released during such transitions is assumed to be transferred primarily either to the…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Ryusuke Jinno , Bibhushan Shakya , Jorinde van de Vis

The problem of reconstructing non-harmonic internal gravity wave packets generated by a source moving in a stratified ocean is considered. The uniform asymptotic form of the internal gravity waves field generated by a source moving above…

Fluid Dynamics · Physics 2011-10-28 Vitaly V. Bulatov , Yuriy V. Vladimirov

We use molecular dynamics simulations to study the formation of surface waves in vertically vibrated granular material. We find that horizontal movements of particles, which are essential for the formation of the waves, consist of two…

Statistical Mechanics · Physics 2009-10-31 Jysoo Lee

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

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

The motion of an interface separating two fluids under the effect of electric fields is a subject that has picked the attention of researchers from different areas. While there is an abundance of studies investigating the free surface wave…

Fluid Dynamics · Physics 2023-03-29 Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

We examine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The model is derived using the lubrication approximation and includes the effects of gravity, upward airflow and surface tension. When…

Fluid Dynamics · Physics 2020-07-01 Yadong Ruan , Ali Nadim , Marina Chugunova

Nonlinear waves emitted from a moving source are studied. A meandering spiral in a reaction-diffusion medium provides an example, where waves originate from a source exhibiting a back-and-forth movement in radial direction. The periodic…

Statistical Mechanics · Physics 2007-05-23 Lutz Brusch , Alessandro Torcini , Markus Baer

An experimental study is reported of the near-critical reflection of internal gravity waves over sloping topography in a stratified fluid. An overturning instability close to the slope and triggering the boundary-mixing process is observed…

Fluid Dynamics · Physics 2007-05-23 Thierry Dauxois , Anthony Didier , Eric Falcon

Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices, wherein the particle trajectories are not any more closed…

Mathematical Physics · Physics 2007-12-05 Mats Ehrnstrom , Gabriele Villari

This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More generally, we study the generation of internal waves by a…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

We study gravitational-wave production from bubble dynamics (bubble collisions and sound waves) during a cosmic first-order phase transition with an analytic approach. We first propose modeling the system with the thin-wall approximation…

High Energy Physics - Phenomenology · Physics 2021-09-14 Ryusuke Jinno , Masahiro Takimoto

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

While several articles have been written on water waves on flows with constant vorticity, little is known about the extent to which a nonconstant vorticity affects the flow structure, such as the appearance of stagnation points. In order to…

Fluid Dynamics · Physics 2022-05-18 Marcelo V. Flamarion , Roberto Ribeiro-Jr

In this paper we construct periodic capillarity-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly sheared currents that have different vorticities. This is…

Analysis of PDEs · Mathematics 2013-02-25 Calin Iulian Martin , Bogdan--Vasile Matioc

Using a nonlocal version of the center manifold theorem and a normal form reduction, we prove the existence of small-amplitude generalized solitary-wave solutions and modulated solitary-wave solutions to the steady gravity-capillary Whitham…

Analysis of PDEs · Mathematics 2021-09-27 Mathew A. Johnson , Tien Truong , Miles H. Wheeler