On Burnett coefficients in periodic media in low contrast regime

DOI10.1063/1.2919066zbMath1152.81385OpenAlexW2078582785MaRDI QIDQ5504925

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

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/139572

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

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 ⋮ Motion of discrete interfaces in low-contrast periodic media ⋮ First Bloch eigenvalue in high contrast media ⋮ The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures ⋮ OPTIMAL BOUNDS ON DISPERSION COEFFICIENT IN ONE-DIMENSIONAL PERIODIC MEDIA

Cites Work

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• On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems
• Bloch Approximation in Homogenization and Applications
• On Burnett coefficients in periodic media
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Homogenization of Periodic Structures via Bloch Decomposition
• The Theory of Composites

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