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This paper considers two-dimensional stably stratified steady periodic gravity water waves with surface profiles monotonic between crests and troughs. We provide sufficient conditions under which such waves are necessarily symmetric. This…

Mathematical Physics · Physics 2009-03-06 Samuel Walsh

We examine the effects of horizontally layered heterogeneities on the spreading of two-phase gravity currents in a porous medium, with application to numerous environmental flows, most notably geological carbon sequestration. Geological…

Fluid Dynamics · Physics 2021-07-21 GP Benham , MJ Bickle , JA Neufeld

The existence of scalar fields can be probed by observations of stochastic gravitational waves. Scalar fields mediate attractive forces, usually stronger than gravity, on the length scales shorter than their Compton wavelengths, which can…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-11 Marcos M. Flores , Alexander Kusenko , Misao Sasaki

Internal waves propagate obliquely through a stratified fluid with an angle that is fixed with respect to gravity. Upon reflection on a sloping bed, striking phenomena are expected to occur close to the slope. We present here laboratory…

Pattern Formation and Solitons · Physics 2009-11-11 Louis Gostiaux , Thierry Dauxois , Henri Didelle , Joel Sommeria , Samuel Viboud

What do the ocean surface and a swaying flag have in common? Both are deformable surfaces exhibiting chaotic motion when exposed to turbulent flows. Whether such motion is primarily driven by flow turbulence or by nonlinear dynamics…

Fluid Dynamics · Physics 2026-05-25 Giulio Foggi Rota , Andrea Mazzino , Marco Edoardo Rosti

Context. Differential rotation has a strong influence on stellar internal dynamics and evolution, notably by triggering hydrodynamical instabilities, by interacting with the magnetic field, and more generally by inducing transport of…

Solar and Stellar Astrophysics · Physics 2018-07-25 Vincent Prat , Stéphane Mathis , Kyle Augustson , François Lignières , Jérôme Ballot , Lucie Alvan , Allan Sacha Brun

We present a large-amplitude existence theory for two-dimensional solitary waves propagating through a two layer body of water. The domain of the fluid is bounded below by an impermeable flat ocean floor and above by a free boundary at…

Analysis of PDEs · Mathematics 2020-12-02 Daniel Sinambela

Some recent papers proposed the use of the satellite images of Google Earth in teaching physics, in particular to see some behaviours of waves. Reflection, refraction, diffraction and interference are easy to be found in these satellite…

Popular Physics · Physics 2012-02-28 Amelia Carolina Sparavigna

Mixing effect in a stratified fluid is considered and examined. Euler equations for incompressible fluid stratified by a gravity field are applied to state a mathematical problem and describe the effect. It is found out that a system of…

Mathematical Physics · Physics 2012-06-27 Sergey Kshevetskii , Sergey Leble

In this paper we present an experimental study of the long surface wave instability that can develop when a granular material flows down a rough inclined plane. The threshold and the dispersion relation of the instability are precisely…

Materials Science · Physics 2009-11-10 Y. Forterre , O. Pouliquen

We have recently shown that spiral density waves propagating in accretion disks can undergo a parametric instability by resonantly coupling with and transferring energy into pairs of inertial waves (or inertial-gravity waves when buoyancy…

Earth and Planetary Astrophysics · Physics 2016-12-21 Jaehan Bae , Richard P. Nelson , Lee Hartmann

Variation of voltage profiles with different time scales leads to the redistribution of deposited energy as well as electro-hydrodynamic forces, while the mechanism and scaling law is still unknown. On the basis of theoretical and numerical…

Plasma Physics · Physics 2020-12-02 Yifei Zhu , Yun Wu

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

We report on an instability arising when surface gravity waves propagate in a rotating frame. The Stokes drift associated to the uniform wave field, together with global rotation, drives a mean flow in the form of a horizontally invariant…

Fluid Dynamics · Physics 2019-11-26 Kannabiran Seshasayanan , Basile Gallet

We explore how thermal Rossby waves propagate within the gravitationally stratified atmosphere of a low-mass star with an outer convective envelope. Under the conditions of slow, rotationally constrained dynamics, we derive a local…

Solar and Stellar Astrophysics · Physics 2023-09-11 Bradley W. Hindman , Rekha Jain

This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves beneath vacuum that have constant vorticity are necessarily two…

Analysis of PDEs · Mathematics 2023-08-09 Robin Ming Chen , Lili Fan , Samuel Walsh , Miles H. Wheeler

We present an analytical stability theory for the onset of the Faraday instability, applying over a wide frequency range between shallow water gravity and deep water capillary waves. For sufficiently thin fluid layers the surface is…

patt-sol · Physics 2009-10-30 H. W. Mueller , H. Wittmer , C. Wagner , J. Albers , K. Knorr

Influence of quantum effects on the internal waves and the Rayleigh-Taylor instability in plasma is investigated. It is shown that quantum pressure always stabilizes the RT instability. The problem is solved both in the limit of…

Fluid Dynamics · Physics 2009-11-13 Vitaly Bychkov , Mattias Marklund , Mikhail Modestov

Internal waves in the ocean interact in triads. Early work emphasized the importance of extreme-scale separated interactions in which two large wavenumber waves interact with one small wavenumber wave. More recent efforts have called this…

Fluid Dynamics · Physics 2023-10-24 Yuri V Lvov , Kurt L Polzin

Using weak wave turbulence theory analysis, we distinguish three main regimes for 2D stratified fluids in the dimensionless parameter space defined by the Froude number and the Reynolds number: discrete wave turbulence, weak wave…

Fluid Dynamics · Physics 2026-03-30 Vincent Labarre , Michal Shavit