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We introduce a novel family of analytic solutions of the three-wave resonant interaction equations to the purpose of modeling unique events, i.e. "amplitude peaks" which are isolated in space and time. The description of these solutions is…

Exactly Solvable and Integrable Systems · Physics 2013-09-18 Fabio Baronio , Matteo Conforti , Antonio Degasperis , Sara Lombardo

Wave resonance is the fundamental mechanism of non-linear instabilities of fluid flows, and affects the long-time evolution of fluid motions and other physical problems described by non-linear differential equations. Some significant…

Mathematical Physics · Physics 2011-04-08 Lun-Shin Yao

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

Motivated by the important role of the ocean in the Earth climate system, here we investigate possible scenarios of ocean circulations on exoplanets using a one-layer shallow water ocean model. Specifically, we investigate how planetary…

Earth and Planetary Astrophysics · Physics 2018-09-06 Weiwen Ji , Ru Chen , Jun Yang

How does one derive models of dynamical feedback effects in multiscale, multiphysics systems such as wave mean flow interaction (WMFI)? We shall address this question for hybrid dynamical systems, whose motion can be expressed as the…

Analysis of PDEs · Mathematics 2023-08-09 Darryl D. Holm , Ruiao Hu , Oliver D. Street

We study the statistics of wind-driven open ocean currents. Using the Ekman layer model for the integrated currents, we investigate, analytically and numerically, the relation between the wind distribution and its temporal correlations and…

Atmospheric and Oceanic Physics · Physics 2013-05-17 Golan Bel , Yosef Ashkenazy

Motivated by the discrepancy between satellite observations of coherent westward propagating surface features and Rossby wave theory, this paper revisits the planetary wave propagation problem, taking into account the effects of lateral…

Atmospheric and Oceanic Physics · Physics 2014-08-01 Xiao Xiao , K. Shafer Smith , Shane R. Keating

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

We review the theory of wave interaction in finite and infinite depth. Both of these strands of water-wave research begin with the deterministic governing equations for water waves, from which simplified equations can be derived to model…

Fluid Dynamics · Physics 2019-09-11 Raphael Stuhlmeier , Teodor Vrecica , Yaron Toledo

Quantifying tidal interactions in close-in two-body systems is of prime interest since they have a crucial impact on the architecture and on the rotational history of the bodies. Various studies have shown that the dissipation of tides in…

Solar and Stellar Astrophysics · Physics 2021-03-24 A. Astoul , J. Park , S. Mathis , C. Baruteau , F. Gallet

A model-data inversion is applied to a very large observational dataset collected in the Southern Ocean north of the Ross Sea during late autumn to early winter, producing estimates of the frequency-dependent rate of dissipation by sea ice.…

Atmospheric and Oceanic Physics · Physics 2020-06-16 W. Erick Rogers , Michael H. Meylan , Alison L. Kohout

Plane inertial waves are generated using a wavemaker, made of oscillating stacked plates, in a rotating water tank. Using particle image velocimetry, we observe that, after a transient, the primary plane wave is subject to a subharmonic…

Fluid Dynamics · Physics 2012-05-22 Guilhem Bordes , Frédéric Moisy , Thierry Dauxois , Pierre-Philippe Cortet

The dissipation of magnetized turbulence is fundamental to understanding energy transfer and heating in astrophysical systems. Collisionless interactions, such as resonant wave-particle process, are known to play a role in shaping turbulent…

We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derived and their ground state structures are…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 P. G. Kevrekidis , S. V. Dmitriev , S. Takeno , A. R. Bishop , E. C. Aifantis

We suggest a way of rationalizing an intra-seasonal oscillations (IOs) of the Earth atmospheric flow as four meteorological relevant triads of interacting planetary waves, isolated from the system of all the rest planetary waves. Our model…

Chaotic Dynamics · Physics 2009-11-11 Elena Kartashova , Victor S. L'vov

Classically, wave interference is a phenomenon that can be explained by considering only the waves themselves, that is, without the need to consider the apparatus that monitors or observes them. Thus, in classical theories, interference can…

Quantum Physics · Physics 2025-08-12 Alexandre Cesar Ricardo , Ciro Micheletti Diniz , Celso Jorge Villas-Bôas

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

Fluid Dynamics · Physics 2023-01-18 Giovanni Dematteis , Yuri V. Lvov

The multi-wave exact resonance condition is a fundamental principle for understanding energy transfer in condensed matter systems, yet the dynamical evolution of waves satisfying this condition remains unexplored. Here, we reveal that the…

Statistical Mechanics · Physics 2025-07-09 Wei Lin , Yong Zhang , Hong Zhao

Wave shape (i.e. skewness or asymmetry) plays an important role in beach morphology evolution, remote sensing, and ship safety. Wind's influence on ocean waves has been extensively studied theoretically in the context of growth, but most…

Fluid Dynamics · Physics 2020-10-02 Thomas Zdyrski , Falk Feddersen

We propose a method to reconstruct and analyze a complex network from data generated by a spatio-temporal dynamical system, relying on the nonlinear mutual information of time series analysis and betweenness centrality of complex network…

Atmospheric and Oceanic Physics · Physics 2010-02-11 Jonathan F. Donges , Yong Zou , Norbert Marwan , Juergen Kurths