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In this paper, we present a model describing the time evolution of two dimensional surface waves in gravity and infinite depth. The model of six interacting modes derives from the normal form of the system describing the dynamics of surface…

混沌动力学 · 物理学 2007-05-23 Tounsia Benzekri , Cristel Chandre , Ricardo Lima , Michel Vittot

Ocean wind waves are a fundamental manifestation of complex dynamics in geophysical fluid systems, characterized by a rich interplay between dispersion and nonlinearity. While linear wave theory provides a first-order description of wave…

大气与海洋物理 · 物理学 2026-04-20 Davide Maestrini , Giovanni Dematteis , Alvise Benetazzo , Miguel Onorato

We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave in a two-layer fluid system. We show that interfacial…

斑图形成与孤子 · 物理学 2019-07-29 Shixiao W. Jiang , Gregor Kovačič , Douglas Zhou

The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

大气与海洋物理 · 物理学 2016-07-20 Eric Danioux , Jacques Vanneste

We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a free common interface. The gravity driven surface and internal…

流体动力学 · 物理学 2017-02-07 Rossen Ivanov

Interfacial waves arising in a two-phase swirling flow driven by a low-frequency rotating magnetic field (RMF) are studied. At low RMF frequencies, of the order of 1-10 Hz, the oscillatory part of the induced Lorenz force becomes comparable…

流体动力学 · 物理学 2024-01-09 Gerrit Maik Horstmann , Yakov Nezihovski , Thomas Gundrum , Alexander Gelfgat

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…

流体动力学 · 物理学 2024-06-04 Joseph Cullen , Rossen Ivanov

Through an Hamiltonian action we write down the system of equations of motions for a mixture of thermocapillary fluids under the assumption that the internal energy is a function not only of the gradient of the densities but also of the…

流体动力学 · 物理学 2008-01-15 Henri Gouin , Tommaso Ruggeri

Fronts and near-inertial waves are energetic motions in the upper ocean that can interact and provide a route for kinetic energy (KE) dissipation of balanced oceanic flows. A quasilinear model is developed to study the KE exchanges between…

大气与海洋物理 · 物理学 2022-06-20 Subhajit Kar , Roy Barkan

We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface waves but considered bounded above by a lid by an assumption…

流体动力学 · 物理学 2016-07-06 Alan Compelli , Rossen Ivanov

In this paper, we investigate kinetic energy and streamline properties for an irrotational periodic geophysical traveling surface water waves propagating in equatorial oceanic regions. Relying on the methods from complex analysis, we prove…

偏微分方程分析 · 数学 2024-05-21 Jian Li , Shaojie Yang

In magnetized plasmas gravitational and electromagnetic waves may interact coherently and exchange energy between themselves and with plasma flows. We derive the wave interaction equations for these processes in the case of waves…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Martin Servin , Gert Brodin

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We suggest a mechanism of energy transformation from fast magnetosonic waves propagating across a magnetic field to Alfv{\'e}n waves propagating along the field. The mechanism is based on {\it swing wave-wave interaction} [T.V.…

天体物理学 · 物理学 2009-11-07 T. v. Zaqarashvili , B. Roberts

Ocean motions at frequencies of the internal wave band are generally associated with freely propagating waves that are supported by stable vertical stratification in density. Previous analyses of yearlong current observations from the Bay…

大气与海洋物理 · 物理学 2022-03-02 Hans van Haren , Leo Maas

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

大气与海洋物理 · 物理学 2023-10-27 Kurt L Polzin , Yuri V Lvov

To investigate the formation mechanism of energy spectra of internal waves in the oceans, direct numerical simulations are performed. The simulations are based on the reduced dynamical equations of rotating stratified turbulence. In the…

流体动力学 · 物理学 2020-06-10 Yuri V. Lvov , Naoto Yokoyama

The motion of a container filled with fluid perturbs the free surface and may result in spilling. In practice, most of the energy is localized in the modes of lowest frequencies (the gravest modes), and sloshing can be predicted once the…

流体动力学 · 物理学 2019-01-14 Guillaume Michel

In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The…

经典物理 · 物理学 2023-09-18 Basant Lal Sharma

In this paper we express the linearized dynamics of interacting interfacial waves in stratified shear flows in the compact form of action-angle Hamilton equations. The pseudo-energy serves as the Hamiltonian of the system, the action…

流体动力学 · 物理学 2018-02-14 Eyal Heifetz , Anirban Guha
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