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The Westervelt equation describes the propagation of pressure waves in continuous nonlinear and, eventually, diffusive media. The classical framework of this equation corresponds to fluid dynamics theory. This work seeks to connect this…

Classical Physics · Physics 2025-03-20 Mariano Caruso , Guillermo Rus , Juan Melchor

Augmenting the dispersion of a solute species remains a challenging topic in electroosmotically-actuated flows due to the inherent plug-like feature of its velocity profile. In this study, we improvise on electrothermal flow of viscoelastic…

Fluid Dynamics · Physics 2019-05-07 Siddhartha Mukherjee , Jayabrata Dhar , Sunando Dasgupta , Suman Chakraborty

The procedure of comprehensive analysis of instability of current sheathes in a wide range of frequencies and wave lengths in the electrically neutral approximation has been developed. This comprehensive analysis of instability is based on…

Plasma Physics · Physics 2010-09-17 V. V. Lyahov , V. M. Neshchadim

We derive a nonlinear acoustic wave propagation model for analysing the thermoviscous dissipation in narrow pores with wavy walls. As the nonlinear waves propagate in the thermoviscous pores, the wave-steepening effect competes with the…

Fluid Dynamics · Physics 2024-02-19 Krishna Sahithi , Prateek Gupta

It is shown that the dispersion and attenuation functions in a linear viscoelastic medium with a positive relaxation spectrum can be expressed in terms of a positive measure. Both functions have a sublinear growth rate at very high…

Materials Science · Physics 2010-05-04 M. Seredyńska , Andrzej Hanyga

Wave propagation in real media is affected by various non-trivial physical phenomena, e.g., anisotropy, an-elasticity and dissipation. Assumptions on the stress-strain relationship are an integral part of seismic modeling and determine the…

Numerical Analysis · Mathematics 2020-11-04 Khemraj Shukla , Jesse Chan , Maarten V. de Hoop

Bi-isotropic media, which include isotropic chiral media and Tellegen media as special cases, are the most general form of linear isotropic media where the electric displacement and the magnetic induction are related to both the electric…

Optics · Physics 2016-05-04 Seulong Kim , Kihong Kim

Layered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the frequency intervals for which shear waves cannot propagate) can be…

Mathematical Physics · Physics 2025-08-22 Harold Berjamin , Stephan Rudykh

Accurate prediction of electron temperature ($T_{\rm e}$) is critical for non-equilibrium plasma applications ranging from hypersonic flight to plasma-assisted combustion. We recently proposed a thermodynamically consistent model for…

Plasma Physics · Physics 2026-03-13 Bernard Parent , Felipe Martin Rodriguez Fuentes

The dynamics of a Lamb-Oseen vortex dipole in a viscoelastic fluid are investigated, with emphasis on asymmetry, coupling strength, and transverse shear waves relevant to strongly coupled dusty plasmas. Dusty plasmas provide a natural…

Plasma Physics · Physics 2026-05-21 Vipul B Rohit , Vikram Dharodi , Sharad K Yadav

Wave propagation on the surface of a material contains information about physical properties beneath its surface. We propose a method for inferring the thickness and stiffness of a structure from just a video of waves on its surface. Our…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Alexander C. Ogren , Berthy T. Feng , Jihoon Ahn , Katherine L. Bouman , Chiara Daraio

In order to model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms linear in dot{E}, the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor sigma derived from the…

Soft Condensed Matter · Physics 2013-03-08 Michel Destrade , Giuseppe Saccomandi , Maurizio Vianello

Connectedness and applied stress strongly affect elasticity in solids. In various amorphous solids, mechanical stability can be lost either by reducing connectedness or by increasing pressure. We present an effective medium theory of…

Soft Condensed Matter · Physics 2014-12-18 Eric DeGiuli , Adrien Laversanne-Finot , Gustavo Düring , Edan Lerner , Matthieu Wyart

In this paper, we consider time-harmonic elastic wave scattering governed by the Lam\'e system. It is known that the elastic wave field can be decomposed into the shear and compressional parts, namely, the pressure and shear waves that are…

Analysis of PDEs · Mathematics 2015-09-15 Hongyu Liu , Jingni Xiao

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit…

Analysis of PDEs · Mathematics 2019-06-11 Tomáš Roubíček

If a porous media is being damaged by excessive stress, the elastic matrix at every infinitesimal volume separates into a 'solid' and a 'broken' component. The 'solid' part is the one that is capable of transferring stress, whereas the…

Fluid Dynamics · Physics 2023-05-09 François Gay-Balmaz , Vakhtang Putkaradze

We have derived the set of reference scaling parameters yielding collapse of isentropic acoustic and thermoacoustic (or heat-release-induced) waves across different pure compressible fluids with an assigned equation of state. The resulting…

Fluid Dynamics · Physics 2017-08-31 Mario Tindaro Migliorino , Carlo Scalo

We present equivalent conditions and asymptotic models for the diffraction problem of elastic and acoustic waves in a solid medium surrounded by a thin layer of fluid medium. Due to the thinness of the layer with respect to the wavelength,…

Numerical Analysis · Mathematics 2022-05-16 Victor Péron

Hysteretic damping is often modeled by means of linear viscoelastic approaches such as "nearly constant Attenuation (NCQ)" models. These models do not take into account nonlinear effects either on the stiffness or on the damping, which are…

Classical Physics · Physics 2010-07-28 Nicolas Delépine , Luca Lenti , Guy Bonnet , Jean-François Semblat

In this paper, we propose a robust low-order stabilization-free virtual element method on quadrilateral meshes for linear elasticity that is based on the stress-hybrid principle. We refer to this approach as the Stress-Hybrid Virtual…

Numerical Analysis · Mathematics 2023-11-28 Alvin Chen , N. Sukumar
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