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This paper concerns the dynamical behaviors of acoustic wave motion driven by a force acting through the boundary. If the boundary force is a suitable control, we show that the dynamical system associated to the acoustic wave motion is…

Analysis of PDEs · Mathematics 2025-08-26 Zhe Jiao , Xiao Li , Qin Zhao

The flow profile in a capillary gap and the pumping efficiency of an acoustic micropump employing Surface Acoustic Waves is investigated both experimentally and theoretically. Such ultrasonic surface waves on a piezoelectric substrate…

Soft Condensed Matter · Physics 2007-05-23 Z. Guttenberg , A. Rathgeber , S. Keller , J. O. Rädler , A. Wixforth , M. Kostur , M. Schindler , P. Talkner

Spatially localized oscillations in periodically forced systems are intriguing phenomena. They may occur in spatially homogeneous media (oscillons), but quite often emerge in heterogeneous media, such as the auditory system, where localized…

Pattern Formation and Solitons · Physics 2020-04-21 Yuval Edri , Ehud Meron , Arik Yochelis

Um fluido em movimento pode agir sobre o som da mesma forma que os espa\c{c}o-tempos curvos podem influenciar na trajet\'oria da luz na relatividade geral. Com isso, pode-se descrever a propaga\c{c}\~ao dessas ondas sonoras atrav\'es de uma…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Júnior Diniz Toniato

It has recently been proved that, in the presence of vortex flows, the fluctuation dynamics of a rotating photon-fluid model is governed by the Klein-Gordon equation of an effective massive scalar field in a $(2+1)$-dimensional acoustic…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Shahar Hod

We demonstrate theoretically that acoustic forces acting on inhomogeneous fluids can be used to pattern and manipulate solute concentration fields into spatio-temporally controllable configurations stabilized against gravity. A theoretical…

Fluid Dynamics · Physics 2017-03-29 Jonas T. Karlsen , Henrik Bruus

Sound wave propagation in a relativistic perfect fluid with a non-homogeneous isentropic flow is studied in terms of acoustic geometry. The sound wave equation turns out to be equivalent to the equation of motion for a massless scalar field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Neven Bilic

This paper concerns about the large time behavior of acoustic wave motion driven by a random force acting through the boundary. We begin with an abstract result showing the interconnection between the regularity of Markov semigroup…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Xiao Li

We present an experimental study of a droplet interacting with an ultrasonic surface acoustic wave (SAW). Depending on the amplitude of the wave, the drop can either experience an internal flow with its contact-line pinned, or (at higher…

Fluid Dynamics · Physics 2015-05-18 P. Brunet , M. Baudoin , O. Bou Matar , F. Zoueshtiagh

We present the results of studies of acoustic-gravity waves (AGWs) in the upper atmosphere of the Earth. The work has been mainly aimed at studying the peculiarities of atmospheric AGWs in the atmosphere based on the theoretical models…

Atmospheric and Oceanic Physics · Physics 2023-08-04 O. K. Cheremnykh , A. K. Fedorenko , E. I. Kryuchkov , Yu. O. Klymenko , I. T. Zhuk

Acoustic black holes are fluid dynamic analogs of general relativistic black holes, wherein the behaviour of sound waves in a moving fluid acts as an analog for scalar fields propagating in a gravitational background. Acoustic horizons…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefano Liberati , Sebastiano Sonego , Matt Visser

The problem of propagating nonlinear acoustic waves is considered; the solution to which, both with and without damping, having been obtained to-date starting from the Navier-Stokes-Duhem equations together with the continuity and thermal…

Fluid Dynamics · Physics 2021-09-29 Markus Scholle

Nonlinear self-modulation of the dust acoustic waves is studied, in the presence of non-thermal (non-Maxwellian) ion and electron populations. By employing a multiple scale technique, a nonlinear Schrodinger-type equation (NLSE) is derived…

Plasma Physics · Physics 2015-06-26 Ioannis Kourakis , P. K. Shukla

We apply a homogenization process to the acoustic velocity potential wave equation. The study of various examples shows that the resulting effective properties are different from those of the homogenized pressure wave equation for the same…

General Relativity and Quantum Cosmology · Physics 2014-09-23 C. García-Meca , S. Carloni , C. Barceló , G. Jannes , J. Sánchez-Dehesa , A. Martínez

Acoustic shock and acceleration waves in inhomogeneous fluids are investigated using both analytical and numerical methods. In the context of start-up signaling problems, and based on linear acoustics theory, we study the propagation of…

Fluid Dynamics · Physics 2018-11-13 R. S. Keiffer , P. M. Jordan , I. C. Christov

Non-Riemannian geometry of acoustic non-relativistic turbulent flows is irrotationally perturbed generating a acoustic geometry model with acoustic metric and acoustic Cartan contortion. The contortion term is due to nonlinearities in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We consider the acoustic flow field of rotationally symmetric systems, like an annular combustor and the flow in a round duct, in absence of a mean azimuthal flow field. We focus on azimuthal instabilities, which manifest as either spinning…

Fluid Dynamics · Physics 2020-10-05 Giulio Ghirardo , Francesco Gant

A non-Riemannian geometrical approach to the investigation of an acoustic black hole in irrotational mean flows, based on the Lighthill vortex sound theory is given. This additional example of analog gravity based on classical fluids is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

The manipulation of acoustic wave propagation in fluids has numerous applications, including some in everyday life. Acoustic technologies frequently develop in tandem with optics, using shared concepts such as waveguiding and metamedia. It…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Zhaoju Yang , Fei Gao , Xihang Shi , Xiao Lin , Zhen Gao , Yidong Chong , Baile Zhang

We present here a comprehensive derivation for the speed of a small bottom-heavy sphere forced by a transverse acoustic field and thereby establish how density inhomogeneities may play a critical role in acoustic propulsion. The sphere is…

Fluid Dynamics · Physics 2020-07-13 Francois Nadal , Sebastien Michelin