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We study the problem of stabilization for the acoustic system with a spatially distributed damping. With imposing hypothesis on the structural properties of the damping term, we identify exponential decay of solutions with growing time.

偏微分方程分析 · 数学 2023-02-07 Kaïs Ammari , Fathi Hassine , Luc Robbiano

In this article we use an electromagnetic Lagrangian constructed so as to include dispersive effects in the description of an electromagnetic wave propagating in the Quantum Electrodynamic Vacuum. This Lagrangian is Lorentz invariant,…

高能物理 - 理论 · 物理学 2021-05-19 Francesco Pegoraro , Sergei Bulanov

We predict the development and propagation of the fluctuations in a perturbed ideally-expanded air jet. A non-propagating harmonic perturbation in the density, axial velocity, and pressure is introduced at the inflow with different…

流体动力学 · 物理学 2025-01-16 Osama A. Marzouk

The propagation of nonlinear waves in a lattice of repelling particles is studied theoretically and experimentally. A simple experimental setup is proposed, consisting in an array of coupled magnetic dipoles. By driving harmonically the…

We study nonlinear stability of spatially homogeneous oscillations in reaction-diffusion systems. Assuming absence of unstable linear modes and linear diffusive behavior for the neutral phase, we prove that spatially localized perturbations…

偏微分方程分析 · 数学 2008-07-01 Thierry Gallay , Arnd Scheel

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based…

材料科学 · 物理学 2015-11-11 Un-Son Ri , Un-Gyong An , Song-Jin Im

The homogenization of one-dimensional acoustic or elastic structures of finite extent is considered. A new homogenization method based on transfer matrices is derived. The new homogenization method may account for variable cross sectional…

流体动力学 · 物理学 2022-03-15 Michael B. Muhlestein , Alexei T. Skvortsov

We describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions, recently introduced in signal analysis…

chao-dyn · 物理学 2009-10-31 Christophe Baudet , Olivier Michel , William J. Williams

We consider frequency-domain acoustic scattering at a homogeneous star-shaped penetrable obstacle, whose shape is uncertain and modelled via a radial spectral parameterization with random coefficients. Using recent results on the stability…

数值分析 · 数学 2025-04-14 Ralf Hiptmair , Christoph Schwab , Euan A. Spence

We analyze the behavior of third-order in time linear and nonlinear sound waves in thermally relaxing fluids and gases as the sound diffusivity vanishes. The nonlinear acoustic propagation is modeled by the Jordan--Moore--Gibson--Thompson…

偏微分方程分析 · 数学 2021-04-13 Barbara Kaltenbacher , Vanja Nikolić

It is known that ultrasound techniques yield non-intrusive measurements of hydrodynamic flows. For example, the study of the echoes produced by a large number of particle insonified by pulsed wavetrains has led to a now standard velocimetry…

流体动力学 · 物理学 2009-11-07 N. Mordant , O. Michel , J. F. Pinton

A new rigorous approach for precise and efficient calculation of light propagation along non-uniform waveguides is presented. Resonant states of a uniform waveguide, which satisfy outgoing-wave boundary conditions, form a natural basis for…

光学 · 物理学 2017-06-22 S. V. Lobanov , G. Zoriniants , W. Langbein , E. A. Muljarov

The irreducible representations of the extended Galilean group are used to derive the symmetric and asymmetric wave equations. It is shown that among these equations only a new asymmetric wave equation is fundamental. By being fundamental…

经典物理 · 物理学 2023-04-17 Z. E. Musielak

We present a consistent continuum framework and a variable-coefficient acoustofluidic solver to analyze acoustic streaming. A perturbation approach is used to split the compressible Navier-Stokes equations into two sub-systems: a…

流体动力学 · 物理学 2025-07-28 Khemraj Gautam Kshetri , Amneet Pal Singh Bhalla , Nitesh Nama

We consider the propagation of both fully coherent and partially coherent complex scalar fields, through linear shift-invariant imaging systems. The state of such imaging systems is characterized by a countable infinity of aberration…

光学 · 物理学 2018-02-28 David M. Paganin , Timothy C. Petersen , Mario A. Beltran

The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this method involves the use of the so-called space-time rays, which…

数学物理 · 物理学 2025-01-08 Aleksandr Kaplun , Boris Katsnelson

This paper studies the asymptotic behaviour of the solution of a differential equation perturbed by a fast flow preserving an infinite measure. This question is related with limit theorems for non-stationary Birkhoff integrals. We…

动力系统 · 数学 2024-08-07 Maxence Phalempin

Acoustic waves are those waves which travel with the speed of sound through a medium. H. Lamb has derived a cutoff frequency for stratified and isothermal medium for the propagation of acoustic waves. In order to find the cutoff frequency…

地球与行星天体物理 · 物理学 2017-01-30 J. M. Kashyap , S. Routh , M. G. Maithri

We present a novel hybrid sound propagation algorithm for interactive applications. Our approach is designed for dynamic scenes and uses a neural network-based learned scattered field representation along with ray tracing to generate…

声音 · 计算机科学 2021-09-28 Zhenyu Tang , Hsien-Yu Meng , Dinesh Manocha

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

偏微分方程分析 · 数学 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez