Dispersion and Attenuation for an Acoustic Wave Equation Consistent with Viscoelasticity

DOI10.1142/S0218396X14500064zbMath1360.76252arXiv1307.7379MaRDI QIDQ2981457

Andrzej Hanyga

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7379

zbMATH Keywords

attenuationwave propagationviscoelasticitycompletely monotonic functionsultrasoundcomplete Bernstein functions

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Hydro- and aero-acoustics (76Q05)

Related Items (9)

Wave propagation in anisotropic viscoelasticity ⋮ Observability of \(N\)-dimensional integro-differential systems ⋮ Fractional Burgers wave equation on a finite domain ⋮ Distributed-order fractional constitutive stress-strain relation in wave propagation modeling ⋮ Iterative methods for photoacoustic tomography in attenuating acoustic media ⋮ Control problems for weakly coupled systems with memory ⋮ Asymptotic estimates of viscoelastic Green’s functions near the wavefront ⋮ Fractional Burgers wave equation ⋮ Energy dissipation for hereditary and energy conservation for non-local fractional wave equations

Cites Work

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• Attenuation Models in Photoacoustics
• Causality and dispersion relations for fixed momentum transfer

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