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In this paper, the acoustic interaction forces and torques exerted by an arbitrary time-harmonic wave on a set of N spheres suspended in an inviscid fluid are theoretically analyzed. In so doing, we utilize the partial-wave expansion method…

Classical Physics · Physics 2016-11-17 J. Henrique Lopes , M. Azarpeyvand , G. T. Silva

Here, the acoustic equation for a lossy medium is derived from the first principle from the linearized compressible Navier-Stokes equation without Stokes' hypothesis. The dispersion relation of the governing equation is obtained, which…

Mathematical Physics · Physics 2022-12-29 Tapan K. Sengupta , Prasannabalaji Sundaram , Aditi Sengupta

In this paper, we consider the direct and inverse problem of scattering of time-harmonic waves by an unbounded rough interface with a buried impenetrable obstacle. We first study the well-posedness of the direct problem with a local source…

Analysis of PDEs · Mathematics 2017-01-09 Yulong Lu , Bo Zhang

The possibility of asymmetric absorption and reflection for flexural waves is demonstrated though analytical and numerical examples. We focus on the 1D case of flexural motion of a beam and consider combinations of point scatterers which…

Classical Physics · Physics 2019-09-04 Andrew N. Norris , Pawel Packo

In this paper we present a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions. The main goal of the present work…

Mathematical Physics · Physics 2007-05-23 G. Iovane , I. K. Lifanov , M. A. Sumbatyan

Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-interative sampling technique is proposed for detecting the rough surface by taking elastic wave…

Analysis of PDEs · Mathematics 2020-12-15 Tielei Zhu , Jiaqing Yang

In dispersive media, hydrodynamic singularities are resolved by coherent wavetrains known as dispersive shock waves (DSWs). Only dynamically expanding, temporal DSWs are possible in one-dimensional media. The additional degree of freedom…

Pattern Formation and Solitons · Physics 2017-11-01 M. A. Hoefer , G. A. El , A. M. Kamchatnov

We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

The aim of this Letter is to derive explicitly the secular equation for Scholte waves at the interface between a fluid and an anisotropic crystal cut along a plane containing the normal to a single symmetry plane, that is containing only…

Soft Condensed Matter · Physics 2013-04-26 Michel Destrade

Surface acoustic waves (SAWs) are elastic waves localized on a surface of an elastic body. We theoretically study topological edge modes of SAWs for a corrugated surface. We introduce a corrugation forming a triangular lattice on the…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Tomohiro Inoue , Shuichi Murakami

A problem in nonlinear water-wave propagation on the surface of an inviscid, stationary fluid is presented. The primary surface wave, suitably initiated at some radius, is taken to be a slowly evolving nonlinear cylindrical wave (governed…

Pattern Formation and Solitons · Physics 2007-05-23 S. M. Killen , R. S. Johnson

The propagation of small-amplitude inhomogeneous plane waves in an isotropic homogeneous incompressible Mooney--Rivlin material is considered when the material is maintained in a state of finite static homogeneous deformation. Disturbances…

Soft Condensed Matter · Physics 2013-05-02 Michel Destrade

We predict the existence of surface waves in layered superconductors in the THz frequency range, below the Josephson plasma frequency $\omega_J$. This wave propagates along the vacuum-superconductor interface and dampens in both transverse…

Superconductivity · Physics 2009-11-11 Sergey Savel'ev , Valery Yampol'skii , Franco Nori

Effects of spatially varying interfacial parameters on the propagation of surface waves are studied. These variations can arise from inhomogeneities in coverage of surface active substances such as amphiphillic molecules at the fluid/gas…

Condensed Matter · Physics 2009-10-22 T. Chou , David R. Nelson

It is shown that the Maxwell's equations for surface electromagnetic TM-waves, propagating along the plane boundary between two nonlinear dielectrics with arbitrary diagonal tensor of dielectric permittivity, depending of |{\bf E}|, can be…

atom-ph · Physics 2008-02-03 Yu. P. Rybakov , B. Saha

Particulate materials include powders, emulsions, composites, and many others. This is why measuring these has become important for both industry and scientific applications. For industrial applications, the greatest need is to measure…

Statistical Mechanics · Physics 2024-07-10 Paulo S. Piva , Kevish K. Napal , Art L. Gower

Acoustic waves propagation of in composite of water with embedded double-layered silicone resin/silver rods is considered. Approximate values of effective dynamical constitutive parameters are obtained. Frequency ranges of simultaneous…

Other Condensed Matter · Physics 2010-12-22 Ivan Lisenkov , Roman Popov , Sergey Nikitov

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…

Earth and Planetary Astrophysics · Physics 2017-01-30 J. M. Kashyap , S. Routh , M. G. Maithri

It is proved that elliptically-polarized finite-amplitude inhomogeneous plane waves may not propagate in an isotropic elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and…

Soft Condensed Matter · Physics 2013-06-04 Michel Destrade

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…

Classical Physics · Physics 2023-04-17 Z. E. Musielak