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This paper is a study of the water wave problem in a two-dimensional domain of infinite depth in the presence of nonzero constant vorticity. A goal is to describe the effects of uniform shear flow on the modulation of weakly nonlinear…

Analysis of PDEs · Mathematics 2022-10-19 Philippe Guyenne , Adilbek Kairzhan , Catherine Sulem

We study the linear stability of a planar interface separating two fluids in relative motion, focusing on the symmetric configuration where the two fluids have the same properties (density, temperature, magnetic field strength, and…

High Energy Astrophysical Phenomena · Physics 2023-07-07 Anthony Chow , Michael E. Rowan , Lorenzo Sironi , Jordy Davelaar , Gianluigi Bodo , Ramesh Narayan

In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

Analysis of PDEs · Mathematics 2025-07-16 Haocheng Yang

In the early Universe, large-scale flows were omnipresent, and the flow collisions produced sheets and filaments. This phenomenon occurs for both particle and wave dark matter. But for the latter, these sheets and filaments are the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-20 Ui-Han Zhang , Tak-Pong Woo , Tzihong Chiueh

Flow-induced instabilities are relevant for the storage and dynamics of magnetic fields in stellar convection zones and possibly also in other astrophysical contexts. We continue the study started in the first paper of this series by…

Astrophysics · Physics 2009-11-13 V. Holzwarth , D. Schmitt , M. Schuessler

Dense suspensions have previously been shown to produce a range of anomalous and gravity-defying behaviors when subjected to strong vibrations in the direction of gravity. These behaviors have previously been interpreted via analogies to…

Soft Condensed Matter · Physics 2022-06-29 Xingjian Hou , Joseph D. Peterson

Edge shear flow and its effect on regulating turbulent transport have long been suspected to play an important role in plasmas operating near the Greenwald density limit $ n_G $. In this study, equilibrium profiles as well as the turbulent…

Plasma Physics · Physics 2018-01-18 R. Hong , G. R. Tynan , P. H. Diamond , L. Nie , D. Guo , L. Ting , R. Ke , Y. Wu , B. Yuan , M. Xu

We present experimental measurements of a wall-bounded gravity current, motivated by characterizing natural gravity currents such as oceanic overflows. We use particle image velocimetry and planar laser-induced fluorescence to…

Fluid Dynamics · Physics 2020-12-25 Philippe Odier , Jun Chen , Robert E. Ecke

Prominences are incredibly dynamic across the whole range of their observable spatial scales, with observations revealing gravity-driven fluid instabilities, waves, and turbulence. With all these complex motions, it would be expected that…

Solar and Stellar Astrophysics · Physics 2018-09-05 Andrew Hillier , Vanessa Polito

Our microscopic understanding of the integer quantum Hall effect is still incomplete. For decades, there has been a controversial discussion about "where the current flows" if the Hall resistance is quantized. Here, we qualitatively analyze…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Serkan Sirt , Stefan Ludwig

In astrophysical shear flows, the Kelvin-Helmholtz (KH) instability is generally suppressed by magnetic tension provided a sufficiently strong streamwise magnetic field. This is often used to infer upper (or lower) bounds on field strengths…

Fluid Dynamics · Physics 2026-02-04 Adrian E. Fraser , Alexis K. Kaminski , Jeffrey S. Oishi

We present a comprehensive theory for linear gravity-driven ship waves in the presence of a shear current with uniform vorticity, including the effects of finite water depth. The wave resistance in the presence of shear current is…

Fluid Dynamics · Physics 2016-04-25 Yan Li , Simen Å. Ellingsen

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

The effect of viscosity on the wave resistance experienced by a 2d perturbation moving at uniform velocity over the free surface of a fluid is investigated. The analysis is based on Rayleigh's linearized theory of capillary-gravity waves.…

Soft Condensed Matter · Physics 2009-10-31 Denis Richard , Elie Raphael

Density-wave fronts in a vibrofluidized wet granular layer undergoing a gas-liquid-like transition are investigated experimentally. The threshold of the instability is governed by the amplitude of the vertical vibrations. Fronts, which are…

Soft Condensed Matter · Physics 2017-05-09 Andreas Zippelius , Kai Huang

The vorticity statistics characterises both the direct and the inverse turbulent cascades of two-dimensional fluid flows. The fluid/gravity correspondence relates fluid flows to black brane dynamics. We construct the holographic vorticity…

High Energy Physics - Theory · Physics 2015-06-16 Christopher Eling , Yaron Oz

This contribution reports on numerical simulations of 2D granular flows on erodible beds. The broad aim is to investigate whether simple flows of model granular matter exhibits spontaneous oscillatory motion in generic flow conditions, and…

Soft Condensed Matter · Physics 2012-11-27 Lydie Staron

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

A wide range of natural and engineered fluid flows exhibit spatial or temporal viscosity variations, spanning scales from microbial locomotion to planetary mantle convection. These variations introduce qualitatively new physical mechanisms…

Fluid Dynamics · Physics 2025-08-01 Arjun Sharma , Ritabrata Thakur , Sharath Jose , Rama Govindarajan

We analyze gravitational waves propagating in an isotropic cosmic fluid endowed with a bulk viscosity $\zeta$ and a shear viscosity $\eta$, assuming these coefficients to vary with fluid density $\rho$ as $\rho^\lambda$, with $\lambda=1/2$…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Iver Brevik , Shin'ichi Nojiri
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