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Wind farms, particularly offshore clusters, are becoming larger than ever before. Besides influencing wind farms and local meteorology downstream, large wind farms can trigger atmospheric gravity waves in the inversion layer and the free…

Atmospheric and Oceanic Physics · Physics 2024-03-29 Mehtab Ahmed Khan , Dries Allaerts , Simon Watson , Matthew Churchfield

The parametric subharmonic instability in stratified fluids depends on the frequency and the amplitude of the primary plane wave. In this paper, we present experimental and numerical results emphasizing that the finite width of the beam…

Waves propagate through disordered systems in a variety of regimes. There is a threshold of disorder beyond which waves become localized and transport becomes restricted. The intensity I of the wave transmitted through a system has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the JONSWAP spectrum with the proximity to homoclinic solutions of the NLS…

Pattern Formation and Solitons · Physics 2007-05-23 Constance Schober , Alvaro Islas

Pattern formation in Rayleigh-Benard convection in a large-aspect-ratio cylinder with a radial ramp in the plate separation is studied analytically and numerically by performing numerical simulations of the Boussinesq equations. A…

Pattern Formation and Solitons · Physics 2009-11-07 M. R. Paul , M. C. Cross , P. F. Fischer

A method is presented that is able to predict the probability of outcomes of snapshot measurements, such as the images of the instantaneous particle density distribution in a quantum many-body system. It is shown that a gauge-like…

Quantum Physics · Physics 2008-09-05 A. L. Shelankov , J. Rammer

We study the stability and instability of periodic traveling waves in the vicinity of the origin in the spectral plane, for equations of Benjamin- Bona-Mahony (BBM) and regularized Boussinesq types permitting nonlocal dispersion. We extend…

Analysis of PDEs · Mathematics 2016-10-31 Vera Mikyoung Hur , Ashish Kumar Pandey

We investigate the spectral instability of a $2\pi/\kappa$ periodic Stokes wave of sufficiently small amplitude, traveling in water of unit depth, under gravity. Numerical evidence suggests instability whenever the unperturbed wave is…

Analysis of PDEs · Mathematics 2023-10-09 Vera Mikyoung Hur , Zhao Yang

The description of gravity waves propagating on the water surface is considered from a historical point of view, with specific emphasis on the development of a theoretical framework and equations of motion for long waves in shallow water.…

Fluid Dynamics · Physics 2022-03-30 Tomas Torsvik , Ahmed Abdalazeez , Denys Dutykh , Petr Denissenko , Ira Didenkulova

We systematically construct vector solitary waves in harmonically trapped one-dimensional two-component Bose-Einstein condensates with unequal dispersion coefficients by a numerical continuation in chemical potentials from the respective…

Quantum Gases · Physics 2023-06-28 Wenlong Wang

We study four- and higher-order wave mixing of continuous coherent waves on a single superconducting artificial atom. Narrow side peaks of different orders of nonlinearity resulting from elastic multi-photon scattering on the atom are…

Variable density flows occur in a variety of different systems with a wide range of scales, from astrophysics to atmospheric flows to inertial confinement fusion or reacting flows. Given the inherent limitations of RANS simulations, it is…

Fluid Dynamics · Physics 2020-01-01 Jan Felix Heyse , Zhu Huang , Gianluca Iaccarino

The simulation of long, nonlinear dispersive waves in bounded domains usually requires the use of slip-wall boundary conditions. Boussinesq systems appearing in the literature are generally not well-posed when such boundary conditions are…

Numerical Analysis · Mathematics 2022-01-05 Samer Israwi , Henrik Kalisch , Theodoros Katsaounis , Dimitrios Mitsotakis

The broaching that follows the surf-riding is a dangerous phenomenon that can lead to the capsizing of a vessel due to its violent yaw motion. Most of the previous studies on surf-riding phenomena in irregular waves have been conducted by…

Dynamical Systems · Mathematics 2024-01-12 Atsuo Maki , Yuuki Maruyama , Keiji Katsumura , Leo Dostal

Theoretical studies on the modulation of unidimensional regular waves over a flat bottom due to a current typically assign an asymmetry between the effects of opposing/following streams on the evolution of major sea variables, such as…

Fluid Dynamics · Physics 2026-01-27 Ina Teutsch , Saulo Mendes , Jerome Kasparian

Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to…

Pattern Formation and Solitons · Physics 2014-05-07 Shigefumi Hata , Hiroya Nakao , Alexander S. Mikhailov

A random distribution of poroelastic spheres in a poroelastic medium obeying Biot's theory is considered. The scattering coefficients of the fast and the slow waves are computed in the low frequency limit using the sealed pore boundary…

Soft Condensed Matter · Physics 2025-01-22 Dossou Gnadjro , Amah Séna d'Almeida

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

The energy pathways from propagating internal waves to the scales of irreversible mixing in the ocean are not fully described. In the ocean interior, the triadic resonant instability is an intrinsic destabilization process that may enhance…

Fluid Dynamics · Physics 2021-02-10 Yvan Dossmann , Florence Pollet , Philippe Odier , Thierry Dauxois

We study the k-space fluctuations of the waveaction about its mean spectrum in the turbulence of dispersive waves. We use a minimal model based on the Random Phase Approximation (RPA) and derive evolution equations for the arbitrary-order…

Mathematical Physics · Physics 2009-11-10 Yuri V. Lvov , Sergey Nazarenko
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