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The interfacial internal waves are formed at the pycnocline or thermocline in the ocean and are influenced by the Coriolis force due to the Earth's rotation. A derivation of the model equations for the internal wave propagation taking into…

Fluid Dynamics · Physics 2024-06-04 Joseph Cullen , Rossen Ivanov

This paper is devoted to the study of water waves under the influence of the gravity and the Coriolis force. It is quite common in the physical literature that the rotating shallow water equations are used to study such water waves. We…

Analysis of PDEs · Mathematics 2016-09-12 Benjamin Melinand

In the present study a mathematical model of long-crested water waves propagating mainly in one direction with the effect of Earth's rotation is derived by following the formal asymptotic procedures. Such a model equation is analogous to…

Analysis of PDEs · Mathematics 2019-05-01 Guilong Gui , Yue Liu , Junwei Sun

We experimentally investigate internal coastal Kelvin waves in a two-layer fluid system on a rotating table. Waves in our system propagate in the prograde direction and are exponentially localized near the boundary. Our experiments verify…

Fluid Dynamics · Physics 2021-02-09 Chenyang Ren , Xianping Fan , Yiling Xia , Tiancheng Chen , Liu Yang , Jin-Qiang Zhong , H. P. Zhang

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

Fluid Dynamics · Physics 2021-12-08 Semyon Churilov , Yury Stepanyants

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

Spiral waves in excitable media possess both wave-like and particle-like properties. When resonantly forced (forced at the spiral rotation frequency) spiral cores travel along straight trajectories, but may reflect from medium boundaries.…

Pattern Formation and Solitons · Physics 2013-04-03 Jacob Langham , Dwight Barkley

It is well known that the Coriolis force due to Earth's rotation can induce wind veer in the mean flow velocity of an atmospheric boundary layer (ABL), but much less is known about its effects on turbulent coherent structures. In this work,…

Atmospheric and Oceanic Physics · Physics 2025-12-22 Changlong Wang , Luoqin Liu , Xiang I. A. Yang , Ruifeng Hu

The nonlinear theory of acoustic-gravity waves (AGWs) in the atmosphere is revisited with the effects of the Coriolis force. Previous theory in the literature [Phys. Scr. \textbf{90} (2015) 055001] is advanced. Starting from a set of fluid…

Atmospheric and Oceanic Physics · Physics 2021-07-19 Debjani Chatterjee , A. P. Misra

The analytical study of long wave scattering in a canal with a rapidly varying cross-section is presented. It is assumed that waves propagate on a stationary current with a given flow rate. Due to the fixed flow rate, the current speed is…

Fluid Dynamics · Physics 2017-09-19 Semyon Churilov , Andrei Ermakov , Germain Rousseaux , Yury Stepanyants

The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Lars Andersson , Jérémie Joudioux , Marius A. Oancea , Ayush Raj

Coasts are obstructions to the classical derivation of continuously stratified quasigeostrophic equations, due to possible resonances between slow internal coastally trapped Kelvin waves and anticyclones. [Deremble et al Ocean Modelling…

Fluid Dynamics · Physics 2020-06-24 Antoine Venaille

We investigate the quasilinear effects of the resonant wave-particle interaction under conditions of imbalanced turbulent heating in the collisionless coronal hole. We find that velocity-space transport of protons from the heated part of…

The response of a semi-infinite ocean to a slowly travelling atmospheric perturbation crossing the coast provides a simple example of the breakdown of nearly geostrophic balance induced by a boundary. We examine this response in the linear…

Atmospheric and Oceanic Physics · Physics 2021-09-29 Jacques Vanneste

We observe the dynamics of waves propagating on the surface of a ferrofluid under the influence of a spatially and temporarily modulated field. In particular, we excite plane waves by a travelling lamellar modulation of the magnetization.…

Other Condensed Matter · Physics 2009-11-13 A. Beetz , C. Gollwitzer , R. Richter , I. Rehberg

We are interested here in describing the linear response of the ocean to some wind forcing, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another - much…

Analysis of PDEs · Mathematics 2012-07-03 Anne-Laure Dalibard , Laure Saint-Raymond

We study the tidal forcing, propagation and dissipation of linear inertial waves in a rotating fluid body. The intentionally simplified model involves a perfectly rigid core surrounded by a deep ocean consisting of a homogeneous…

Earth and Planetary Astrophysics · Physics 2015-05-13 Gordon I. Ogilvie

We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Manfried Faber , Martin Suda

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling…

Chaotic Dynamics · Physics 2008-01-17 Fen-Ni Si , Quan-Xing Liu , Jin-Zhong Zhang , Lu-Qun Zhou

Inertial waves in fluid regions of planets and stars play an important role in their dynamics and evolution, through energy, heat and angular momentum transport and mixing of chemicals. While inertial wave propagation in flows prescribed by…

Geophysics · Physics 2026-05-20 Lennart Kira , Jerome Noir , Daniel Lecoanet
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