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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…

Classical Physics · Physics 2022-01-31 Nadezhda I. Aleksandrova

In recent work, we have proposed a theory for the derivation of an exact nonlinear dispersion relation for elastic wave propagation which here we consider for a thin rod (linearly nondispersive) and a thick rod (linearly dispersive). The…

Pattern Formation and Solitons · Physics 2023-12-19 Romik Khajehtourian , Mahmoud I. Hussein

A novel mathematical nonlinear theory of surface gravity waves in deep water is presented, in which analytical analysis of the classical nonlinear equations of fluid dynamics is performed under less restrictive assumptions than those…

Fluid Dynamics · Physics 2022-02-24 Ilia Mindlin

The formulation of a canonical deep-water breaking wave problem is introduced, and the results of a set of three-dimensional numerical simulations for deep-water breaking waves are presented. In this paper fully nonlinear progressive waves…

Fluid Dynamics · Physics 2014-10-08 Kyle A. Brucker , Thomas T. O'Shea , Douglas G. Dommermuth , Paul Adams

The condition for potential description of the wake waves,generated by flat or cylindrical driving electron bunch in cold plasma is derived. The two-dimensional nonlinear equation for potential valid for small values of that is obtained and…

Plasma Physics · Physics 2008-02-03 A. Amatuni

A systematic and full description of the theory for a dissipation mechanism of wind wave energy in a spectral representation is given. As a basis of the theory, the fundamental is stated that the most general dissipation mechanism for wind…

Atmospheric and Oceanic Physics · Physics 2010-06-21 Vladislav G. Polnikov

We investigate a mechanism to manipulate wall-bounded flows whereby wave-like undulations of the wall topography drives the creation of bespoke longitudinal vortices. A resonant interaction between the ambient vorticity of the undisturbed…

Fluid Dynamics · Physics 2020-08-10 Andreas H. Akselsen , Simen Å. Ellingsen

In this paper, a general model of wireless channels is established based on the physics of wave propagation. Then the problems of inverse scattering and channel prediction are formulated as nonlinear filtering problems. The solutions to the…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Haiqing Wei

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

Plasma Physics · Physics 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

Nonlinear and low-frequency solitary waves are investigated in the framework of the one-dimensional Hall-magnetohydrodynamic model with finite Larmor effects and a double adiabatic model for plasma pressures. The organization of these…

Plasma Physics · Physics 2019-02-13 E. Bello-Benítez , G. Sánchez-Arriaga , T. Passot , D. Laveder , E. Siminos

The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

The usual wavemaker theory hides an unjustified integration constant assumption that renders it invalid. We discuss some surprising subtleties of momentum flux in infinite waves, packets and some counterintuitive examples where "hidden"…

Fluid Dynamics · Physics 2014-09-16 Clifford Chafin

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

An oscillating body floating at the water surface produces a wave-field of self-generated waves. When the oscillation induces a difference in fore-aft wave amplitude squared, these self-generated waves can be used as a mechanism to propel…

Fluid Dynamics · Physics 2025-06-16 D. O'Donovan , M. D. Bustamante , O. Devauchelle , G. P. Benham

We study the (local) propagation of plane waves in a relativistic, non-dissipative, two-fluid system, allowing for a relative velocity in the "background" configuration. The main aim is to analyze relativistic two-stream instability. This…

General Relativity and Quantum Cosmology · Physics 2010-11-29 L. Samuelsson , C. S. Lopez-Monsalvo , N. Andersson , G. L. Comer

Recently, two different proofs for large and intermediate-size solitary waves of the nonlocally dispersive Whitham equation have been presented, using either global bifurcation theory or the limit of waves of large period. We give here a…

Analysis of PDEs · Mathematics 2023-03-27 Mathias Nikolai Arnesen , Mats Ehrnstrom , Atanas G. Stefanov

We propose an analytical framework to model the effect of single and multiple mechanical surface oscillators on the dynamics of vertically polarized elastic waves propagating in a semi-infinite medium. The formulation extends the canonical…

Applied Physics · Physics 2021-09-13 Xingbo Pu , Antonio Palermo , Alessandro Marzani

We propose a time-domain boundary integral method to model linear wave propagation with refractive, focusing, and Doppler effects arising from medium heterogeneities and moving obstacles. In contrast to existing techniques, our method…

Numerical Analysis · Mathematics 2026-05-13 Raaghav Ramani

Experimental wave generation in channels is usually achieved through wavemakers (moving paddles) acting on the surface of the water. Although practical for engineering purposes, wavemakers have issues: they perform poorly in the generation…

Fluid Dynamics · Physics 2025-03-24 Isis Vivanco , Bruce Cartwright , A. Ledesma Araujo , Leonardo Gordillo , Juan F. Marin

This paper investigates the interaction of plane incident waves with a wave farm in the open ocean. The farm consists of a periodic array of large flap-type wave energy converters. A linear inviscid potential-flow model, already developed…

Fluid Dynamics · Physics 2012-09-28 Emiliano Renzi , Frederic Dias