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We study large traveling surface waves within a two-dimensional finite depth, free boundary, homogeneous, incompressible and viscous fluid governed by Darcy's law. The fluid is bound by a gravitational force to a flat rigid bottom and meets…

Analysis of PDEs · Mathematics 2026-01-21 Huy Q. Nguyen , Noah Stevenson

We consider two-dimensional steady periodic gravity waves on water of finite depth with a prescribed but arbitrary vorticity distribution. The water surface is allowed to be overhanging and no assumptions regarding the absence of stagnation…

Analysis of PDEs · Mathematics 2024-08-27 Erik Wahlén , Jörg Weber

We study theoretically the capillary-gravity waves created at the water-air interface by an external surface pressure distribution symmetrical about a point and moving at constant velocity along a linear trajectory. Within the framework of…

Fluid Dynamics · Physics 2012-12-07 Michael Benzaquen , Frédéric Chevy , Elie Raphaël

We demonstrate that gravity acting alone at large length scales, can produce a jet from a large amplitude, axisymmetric surface deformation imposed on a quiescent, deep pool of liquid. Mechanistically, the jet owes it origin to the…

Fluid Dynamics · Physics 2023-04-25 Lohit Kayal , Ratul Dasgupta

The study of capillary wave scattering by a circular region with different interfacial properties from the rest of an otherwise homogeneous interface is motivated by experiments on wave attenuation at a monolayer covered air-water interface…

Condensed Matter · Physics 2016-08-31 T. Chou , S. K. Lucas , H. A. Stone

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 investigate the modal and non-modal linear amplification mechanisms in the flow over a subsonic open cavity and their subsequent interactions to identify optimal flow perturbations that propagate downstream the cavity and trigger flow…

Fluid Dynamics · Physics 2025-11-18 Md Rashidul Islam , Yiyang Sun

Spiral waves are a ubiquitous feature of the nonequilibrium dynamics of a great variety of excitable systems. In the limit of a large separation in timescale between fast excitation and slow recovery, one can reduce the spiral problem to…

patt-sol · Physics 2009-10-30 David A. Kessler , Herbert Levine

We study two-dimensional periodic capillary-gravity water waves propagating at the free surface of water in a flow with arbitrary, prescribed vorticity over a flat bed. Using conformal mappings and a new Babenko-type reformulation of…

Analysis of PDEs · Mathematics 2023-06-14 Erik Wahlén , Jörg Weber

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

Using complementary numerical approaches at high resolution, we study the late-time behaviour of an inviscid, incompressible two-dimensional flow on the surface of a sphere. Starting from a random initial vorticity field comprised of a…

Fluid Dynamics · Physics 2015-12-08 David G. Dritschel , Wanming Qi , J. B. Marston

A problem in nonlinear water-wave propagation on the surface of an inviscid, stationary fluid is presented. The primary surface wave, suitably initiated at some radius, is taken to be a slowly evolving nonlinear cylindrical wave (governed…

Pattern Formation and Solitons · Physics 2007-05-23 S. M. Killen , R. S. Johnson

The influence of viscosity on the flow behaviour in spherically symmetric accretion, has been studied here. The governing equation chosen has been the Navier-Stokes equation. It has been found that at least for the transonic solution,…

Astrophysics · Physics 2009-11-10 Arnab K. Ray

Using standard signal processing tools, we experimentally report that intermittency of wave turbulence on the surface of a fluid occurs even when two typical large-scale coherent structures (gravity wave breakings and bursts of capillary…

Fluid Dynamics · Physics 2015-05-18 Eric Falcon , S. G. Roux , Claude Laroche

We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

We study the production, spectrum and detectability of gravitational waves in models of the early Universe where first order phase transitions occur during inflation. We consider all relevant sources. The self-consistency of the scenario…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-16 Diego Chialva

The formation and dynamics of cavities in liquids leads to focusing of kinetic energy and emission of longitudinal stress waves during the cavity collapse. Here we report that cavitation in elastic solids may additionally emit shear waves…

Soft Condensed Matter · Physics 2019-05-01 Julien Rapet , Yoshiyuki Tagawa , Claus-Dieter Ohl

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2015-01-30 Juhi Jang , Ian Tice , Yanjin Wang

We study numerically and theoretically the gravity-driven flow of a viscous liquid film coating the inner side of a horizontal cylindrical tube and surrounding a shear-free dynamically inert gaseous core. The liquid-gas interface is prone…

Fluid Dynamics · Physics 2022-11-22 Shahab Eghbali , Yves-Marie Ducimetiere , Edouard Boujo , Francois Gallaire

The effect of rotation on the classical gravity-driven Rayleigh-Taylor instability has been shown to influence the scale of the perturbations that develop at the unstable interface and consequently alter the speed of propagation of the…

Fluid Dynamics · Physics 2018-08-29 M. M. Scase , R. J. A. Hill