Finite Propagation Speed of Waves in Anisotropic Viscoelastic Media

DOI10.1137/16M1099959zbMath1375.74023arXiv1611.03039OpenAlexW2586924762MaRDI QIDQ4594895

Joyce R. McLaughlin, Jeong-Rock Yoon

Publication date: 27 November 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03039

zbMATH Keywords

integro-differential equationfinite propagation speedbiomedical imaginganisotropic viscoelastic media

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Biomedical imaging and signal processing (92C55) Linear constitutive equations for materials with memory (74D05) Linear waves in solid mechanics (74J05) Inverse problems for waves in solid mechanics (74J25) Inverse problems for integral equations (45Q05)

Related Items (1)

Global unique continuation from the boundary for a system of viscoelasticity with analytic coefficients and a memory term

Cites Work

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• A class of linear viscoelastic models based on Bessel functions
• On infinite order differential operators in fractional viscoelasticity
• Wave propagation in anisotropic viscoelasticity
• Basic theory for generalized linear solid viscoelastic models
• Unique identifiability of elastic parameters from time-dependent interior displacement measurement
• Relaxation, dispersion, attenuation, and finite propagation speed in viscoelastic media

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