A dynamic viscoelastic analogy for fluid-filled elastic tubes

DOI10.1007/S11012-016-0376-4zbMath1348.76023arXiv1505.06694OpenAlexW3098389221MaRDI QIDQ333800

Francesco Mainardi, Andrea Giusti

Publication date: 31 October 2016

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06694

zbMATH Keywords

viscoelasticityDirichlet seriesBessel functionstransient waveselastic tubes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10)

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Cites Work

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• A mathematical theory of shock-wave formation in arterial blood flow
• Linear and nonlinear pulse propagation in fluid-filled compliant tubes
• Wave propagation in media with singular memory
• On some infinite series involving the zeros of Bessel functions of the first kind
• George William Scott Blair -- the pioneer of factional calculus in rheology
• Mittag-Leffler Functions, Related Topics and Applications

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