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Asymptotic multi-layer analyses and computation of solutions for turbulent flows over steady and unsteady monochromatic surface wave are reviewed, in the limits of low turbulent stresses and small wave amplitude. The structure of the flow…

Fluid Dynamics · Physics 2013-12-17 S. G. Sajjadi , J. C. R. Hunt , F. Drullion

Electricity in the atmosphere provides an ideal topic for educational outreach in environmental science. To support this objective, a simple instrument to measure real atmospheric electrical parameters has been developed and its performance…

Physics Education · Physics 2020-11-04 A. J. Bennett , R. G. Harrison

Here, we investigate the physical mechanisms that may enable squeezing a complex electromagnetic field distribution through a narrow and/or partially obstructed region with little amplitude and phase distortions. Following our recent works,…

Materials Science · Physics 2015-06-03 Mario G. Silveirinha , Nader Engheta

Stokes waves are steady periodic water waves on the free surface of an infinitely deep irrotational two dimensional flow under gravity without surface tension. They can be described in terms of solutions of the Euler-Lagrange equation of a…

Analysis of PDEs · Mathematics 2015-06-04 Eugene Shargorodsky

Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos

An experimental model of transmission of ocean waves by an ice floe is presented. Thin plastic plates with different material properties and thicknesses are used to model the floe. Regular incident waves with different periods and…

Atmospheric and Oceanic Physics · Physics 2016-01-20 Luke Bennetts , Alberto Alberello , Michael Meylan , Claudio Cavaliere , Alexander Babanin , Alessandro Toffoli

Signal processing and Information theory are two disparate fields used for characterizing signals for various scientific and engineering applications. Spectral/Fourier analysis, a technique employed in signal processing, helps estimation of…

Information Theory · Computer Science 2023-09-22 Aditi Kathpalia , Nithin Nagaraj

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

Fluid Dynamics · Physics 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

This paper is concerned with the stability of standing waves for the mass-critical Hartree equation with a focusing perturbation by the variational method. The profile decomposition theory is employed to prove the attainability of the cross…

Analysis of PDEs · Mathematics 2026-03-27 Guoyi Fu , Shanshan Fu , Xiaoguang Li , Jian Zhang , Shihui Zhu

Effects of wave-wave interactions on ocean swell are studied. Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation at long times up to $10^6$ seconds are presented. Basic…

Atmospheric and Oceanic Physics · Physics 2017-06-28 Sergei I. Badulin , Vladimir E. Zakharov

The generalized equation for the study of two-component nonlinear waves in different fields of physics is considered. In special cases, this equation is reduced to a set of the various well-known equations describing nonlinear solitary…

Pattern Formation and Solitons · Physics 2024-07-02 G. T. Adamashvili

General phenomenological theory of hydrodynamic waves in regions with smooth loss of convexity of isentropes is developed based on the fact that for most media these regions in p-V plane are anomalously small. Accordingly the waves are…

Fluid Dynamics · Physics 2009-11-07 Michael I. Tribelsky , Sergei I. Anisimov

This is a study of two-dimensional steady periodic travelling waves on the surface of an infinitely deep irrotational ocean, when the top streamline is in contact with a membrane which has a nonlinear response to stretching and bending, and…

Analysis of PDEs · Mathematics 2008-05-06 Pietro Baldi , John F. Toland

Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stability of sufficiently small-amplitude, one-dimensional Stokes…

Fluid Dynamics · Physics 2022-03-14 Ryan Creedon , Bernard Deconinck , Olga Trichtchenko

Roll-wave trains constitutes a well-known two-phase flow regime in pipes. There exists a one-parameter family of steady roll-wave train solutions, provided the flow conditions are within the roll-wave range. This means that wave train…

Fluid Dynamics · Physics 2018-11-29 Andreas Holm Akselsen

A theory for obtaining waveform for the effective entrainment of a weakly forced oscillator is presented. Phase model analysis is combined with calculus of variation to derive a waveform with which entrainment of an oscillator is achieved…

Chaotic Dynamics · Physics 2015-05-19 Takahiro Harada , Hisa-Aki Tanaka , Michael J. Hankins , István Z. Kiss

Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation, RPA assumes that phases of interacting waves are random…

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

It is a matter of experience that nonlinear waves in dispersive media, propagating primarily in one direction, may appear periodic in small space and time scales, but their characteristics --- amplitude, phase, wave number, etc. --- slowly…

Analysis of PDEs · Mathematics 2015-12-09 Jared C. Bronski , Vera Mikyoung Hur , Mathew A. Johnson

An explanation of polarization entanglement is presented using Maxwells classical electromagnetic theory.Two key features are required to understand these classical origins.The first is that all waves diffract and weakly diffracting…

General Physics · Physics 2015-11-20 John E. Carroll

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Indrakshi Dey