OPTIMAL BOUNDS ON DISPERSION COEFFICIENT IN ONE-DIMENSIONAL PERIODIC MEDIA

DOI10.1142/S0218202509003930zbMath1180.35075MaRDI QIDQ3647607

Loredana Smaranda, Jorge Alonso San Martín, Muthusamy Vanninathan, Carlos Conca

Publication date: 23 November 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

boundsperiodic mediaone space dimensiondispersion tensorhomogenized matrix

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40)

Related Items (8)

Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures ⋮ Burnett coefficients and laminates ⋮ A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures ⋮ Bloch wave spectral analysis in the class of generalized Hashin–Shtrikman micro-structures ⋮ On homogenization of the first initial-boundary value problem for periodic hyperbolic systems ⋮ On operator error estimates for homogenization of hyperbolic systems with periodic coefficients ⋮ First Bloch eigenvalue in high contrast media ⋮ The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures

Cites Work

• Bloch Approximation in Homogenization and Applications
• On Burnett coefficients in periodic media
• Homogenization of Periodic Structures via Bloch Decomposition
• On Burnett coefficients in periodic media in low contrast regime
• Unnamed Item

This page was built for publication: OPTIMAL BOUNDS ON DISPERSION COEFFICIENT IN ONE-DIMENSIONAL PERIODIC MEDIA