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Nonlinear wave interactions affect the evolution of steep wave groups, their breaking and the associated kinematic field. Laboratory experiments are performed to investigate the effect of the underlying focussing mechanism on the shape of…

大气与海洋物理 · 物理学 2018-03-05 Alberto Alberello , Amin Chabchoub , Jason Monty , Filippo Nelli , Jung Lee , John Elsnab , Alessandro Toffoli

Nonlinear radio waves modulate the plasma, scatter on the modulations, and develop an intermittent power spectrum -- perhaps. Rudiments of theory, numerical simulations, and qualitative modeling of nonlinear scattering are presented.…

高能天体物理现象 · 物理学 2020-02-10 Andrei Gruzinov

A thin liquid film falling on a uniformly heated horizontal plate spreads into fingering ripples that can display a complex dynamics ranging from continuous waves, nonlinear spatially localized periodic wave patterns (i.e. rivulet…

流体动力学 · 物理学 2018-05-29 Remi J. Noumana Issokolo , Alain M. Dikande

We start from the remark that in wave turbulence theory, exemplified by the cubic twodimensional Schr{\"o}dinger equation (NLS) on the real plane, the regularity of the resonant manifold is linked with dispersive properties of the equation…

偏微分方程分析 · 数学 2023-07-06 Erwan Faou , Antoine Mouzard

We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear equations for the envelope of electrostatic potential at…

斑图形成与孤子 · 物理学 2024-04-15 Volodymyr M. Lashkin

Laboratory experimental results are presented for nonlinear Internal Solitary Waves (ISW) propagation in deep water configuration with miscible fluids. The results are validated against direct numerical simulations and traveling wave exact…

Nonlinear dynamics of the free surface of finite depth non-conducting fluid with high dielectric constant subjected to a strong horizontal electric field is considered. Using the conformal transformation of the region occupied by the fluid…

流体动力学 · 物理学 2018-03-14 Evgeny A. Kochurin , Nikolay M. Zubarev

In close two-body astrophysical systems, such as binary stars or Hot Jupiter systems, tidal interactions often drive dynamical evolution on secular timescales. Many host stars and presumably giant gaseous planets feature a convective…

太阳与恒星天体物理 · 物理学 2021-09-20 A. Astoul , A. J. Barker

The modeling of wave breaking dissipation in coastal areas is investigated with a fully nonlinear and dispersive wave model. The wave propagation model is based on potential flow theory, which initially assumes non-overturning waves.…

大气与海洋物理 · 物理学 2019-12-05 Bruno Simon , Christos E. Papoutsellis , Michel Benoit , Marissa L. Yates

The propagation of elastic waves in a fractured rock is investigated, both theoretically and numerically. Outside the fractures, the propagation of compressional waves is described in the simple framework of one-dimensional linear…

数值分析 · 数学 2016-08-16 Bruno Lombard , Joël Piraux

The Kolmogorov-Zakharov spectrum predicted by the Weak Turbulence Theory remains elusive for wave turbulence of flexural waves at the surface of an thin elastic plate. We report a direct measurement of the nonlinear timescale $T_{NL}$…

混沌动力学 · 物理学 2015-06-03 Benjamin Miquel , Nicolas Mordant

This paper is intended to study impact forces of breaking waves on a rigid wall based on a nonlinear potential-flow theory. This is a model problem for some technologically important design issues such as the impact of breaking waves on…

流体动力学 · 物理学 2014-03-13 Jian-Jun Shu

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete…

经典物理 · 物理学 2022-01-31 Nadezhda I. Aleksandrova

We consider a layer of an inviscid fluid with free surface which is subject to vertical high-frequency vibrations. We derive three asymptotic systems of equations that describe slowly evolving (in comparison with the vibration frequency)…

流体动力学 · 物理学 2017-11-22 Konstantin Ilin

Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a…

斑图形成与孤子 · 物理学 2016-08-24 K. R. Khusnutdinova , X. Zhang

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schroedinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and…

斑图形成与孤子 · 物理学 2009-11-11 I. Kourakis , P. K. Shukla

Low-frequency simulations of a one-layer model with lateral buoyancy variations (i.e., thermodynamically active) have revealed circulatory motions resembling quite closely submesoscale observations in the surface ocean rather than…

大气与海洋物理 · 物理学 2021-04-14 F. J. Beron-Vera

In the context of fluid flows, the coupled Ostrovsky equations arise when two distinct linear long wave modes have nearly coincident phase speeds in the presence of background rotation. In this paper, nonlinear waves in a stratified fluid…

斑图形成与孤子 · 物理学 2015-06-22 A. Alias , R. H. J. Grimshaw , K. R. Khusnutdinova

We investigate driven wave turbulence in non-Abelian plasmas, in the framework of kinetic theory where both elastic and inelastic processes are considered in the small angle approximation. The gluon spectrum, that forms in the presence of a…

高能物理 - 唯象学 · 物理学 2017-09-13 Yacine Mehtar-Tani

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

流体动力学 · 物理学 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni