One-Dimensional Wave Dispersion in Layered Media

DOI10.1137/15M101138XzbMath1327.35023MaRDI QIDQ2947643

David John Allwright, C. L. Farmer, John R. Ockendon, Hilary Ockendon

Publication date: 25 September 2015

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

zbMATH Keywords

wave propagationdispersionperiodic mediamultiple scalessystem of difference equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Multiple scale methods for ordinary differential equations (34E13) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Wave Propagation along Periodic Layers ⋮ Riemann surface of dispersion diagram of a multilayer acoustical waveguide ⋮ One-dimensional acoustic waves in air/water mixtures

Cites Work

• Unnamed Item
• One-dimensional wave propagation in a highly discontinuous medium
• The accuracy of the O'Doherty-Anstey approximation for wave propagation in highly disordered stratified media
• Multiple scale and singular perturbation methods
• Waves and Compressible Flow
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Finite Volume Methods for Hyperbolic Problems
• Solving Boundary‐Value Problems for Systems of Hyperbolic Conservation Laws with Rapidly Varying Coefficients
• Two-Dimensional Wave Propagation in Layered Periodic Media
• Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
• Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects

This page was built for publication: One-Dimensional Wave Dispersion in Layered Media