On the propagation of transient waves in a viscoelastic Bessel medium

DOI10.1007/s00033-017-0808-6zbMath1370.74028arXiv1612.09489OpenAlexW2567765409MaRDI QIDQ2402770

Ivano Colombaro, Andrea Giusti, Francesco Mainardi

Publication date: 14 September 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09489

zbMATH Keywords

Laplace transformviscoelasticityBessel modelswave-front expansion

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Waves in solid mechanics (74J99)

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Cites Work

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• A dynamic viscoelastic analogy for fluid-filled elastic tubes
• Wave propagation in media with singular memory
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• On infinite order differential operators in fractional viscoelasticity
• On the propagation of transient waves in a viscoelastic Bessel medium
• Asymptotic expansions of solutions of (▽²+k²)u=0

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