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Oceanic internal waves often have curvilinear fronts and propagate over various currents. We present the first study of long weakly-nonlinear internal ring waves in a three-layer fluid in the presence of a background linear shear current.…

Fluid Dynamics · Physics 2022-07-01 D. Tseluiko , N. S. Alharthi , R. Barros , K. R. Khusnutdinova

The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into account while the horizontal co-seismic displacements…

Classical Physics · Physics 2020-01-09 Denys Dutykh , Dimitrios Mitsotakis , Leonid Chubarov , Yuriy Shokin

Oceanic pressure measurements, even in very deep water, and atmospheric pressure or seismic records, from anywhere on Earth, contain noise with dominant periods between 3 and 10 seconds, that is believed to be excited by ocean surface…

Atmospheric and Oceanic Physics · Physics 2015-06-11 Fabrice Ardhuin , Thomas H. C. Herbers

Ocean acoustic propagation can be formulated as a wave guide with a weakly random medium generating multiple scattering. Twenty years ago, this was recognized as a quantum chaos problem, and yet random matrix theory, one pillar of quantum…

Atmospheric and Oceanic Physics · Physics 2015-05-27 Katherine C. Hegewisch , Steven Tomsovic

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

By numerical simulation of exact equations of motion (in terms of conformal variables) for planar non-stationary potential flows of an ideal fluid with a free surface over a strongly non-uniform bottom profile, the effect of nonlinear…

Fluid Dynamics · Physics 2026-02-10 Victor P. Ruban

Wave shoaling of water waves over mild bottom slopes is well described by linearized theories. However, the analytical treatment of nonlinear wave shoaling subject to rapidly varying bottoms has proven to be elusive in the past decades. As…

Fluid Dynamics · Physics 2023-08-25 Saulo Mendes

The data of simultaneous measurements of the surface displacement produced by propagating planar waves in experimental flume and of the dynamic pressure beneath the waves are compared with the theoretical predictions based on different…

Fluid Dynamics · Physics 2022-04-06 A. V. Slunyaev , A. V. Kokorina , M. Klein

This paper addresses long waves on the water surface. It is assumed that initially the water surface has not yet been displaced from its mean level, but the velocity field has already become different from zero. This means that the motion…

Atmospheric and Oceanic Physics · Physics 2018-09-05 Ilia Mindlin

We consider the effect of rain on wind wave generation and dissipation. Rain falling on a wavy surface may have a marked tendency to dampen the shorter waves in the tail of the spectrum, the related range increasing with the rain rate.…

Atmospheric and Oceanic Physics · Physics 2015-03-11 Luigi Cavaleri , Luciana Bertotti , Jean-Raymond Bidlot

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

In this work, we consider the mathematical theory of wind generated water waves. This entails determining the stability properties of the family of laminar flow solutions to the two-phase interface Euler equation. We present a rigorous…

Analysis of PDEs · Mathematics 2016-06-22 Oliver Buhler , Jalal Shatah , Samuel Walsh , Chongchun Zeng

We review various methods for the analysis of initial-value problems for integrable dispersive equations in the weak-dispersion or semiclassical regime. Some methods are sufficiently powerful to rigorously explain the generation of…

Pattern Formation and Solitons · Physics 2016-08-24 Peter D. Miller

In this Letter, we experimentally investigate the collapse of initially dry granular media into water and the subsequent impulse waves. We systematically characterize the influence of the slope angle and the granular material on the initial…

Fluid Dynamics · Physics 2014-02-28 Sylvain Viroulet , Alban Sauret , Olivier Kimmoun

One type of dynamical generation consists in the formation of multiple hadronic resonances from single seed states by incorporating hadronic loop contributions on the level of $s$-wave propagators. Along this line, we study the propagator…

High Energy Physics - Phenomenology · Physics 2015-09-07 Thomas Wolkanowski

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

Statistical channel models are instrumental to design and evaluate wireless communication systems. In the millimeter wave bands, such models become acutely challenging; they must capture the delay, directions, and path gains, for each link…

Signal Processing · Electrical Eng. & Systems 2020-12-18 William Xia , Sundeep Rangan , Marco Mezzavilla , Angel Lozano , Giovanni Geraci , Vasilii Semkin , Giuseppe Loianno

Complete analysis of quantum wave functions of linear systems in an arbitrary number of dimensions is given. It is shown how one can construct a complete set of stationary quantum states of an arbitrary linear system from purely classical…

Quantum Physics · Physics 2007-06-13 Tomasz Sowinski

In a recent letter [Europhys. Lett. 97, 34002 (2012)], random matrix theory is introduced for long-range acoustic propagation in the ocean. The theory is expressed in terms of unitary propagation matrices that represent the scattering…

Mathematical Physics · Physics 2015-06-05 Katherine C. Hegewisch , Steven Tomsovic

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