Propagation of transient acoustic waves in layered porous media: Fractional equations for the scattering operators

DOI10.1007/s11071-004-3754-8zbMath1099.74035OpenAlexW2037646851MaRDI QIDQ2499390

Z. E. A. Fellah, M. Fellah, Claude Depollier

Publication date: 14 August 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-004-3754-8

zbMATH Keywords

telegraph equationfluid-structure interactionVolterra equationsreflection operators

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Wave scattering in solid mechanics (74J20) Fractional derivatives and integrals (26A33)

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Cites Work

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• Fractional telegraph equations.
• Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
• Theory of dynamic permeability and tortuosity in fluid-saturated porous media

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