Two-Scale Homogenisation of Partially Degenerating PDEs with Applications to Photonic Crystals and Elasticity
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- Type
- dissertation
- Published
- 2012-07-17
- Cited by
- 10
- References
- 36
- OpenAlex
- https://openalex.org/W22600680
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116359591
Keywords
Elasticity (physics), Homogenization (climate), Scale (ratio), Materials science, Composite material
References
- Asymptotic analysis of some spectral problems in high contrast homogenisation and in thin domains
- Homogenisation: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials
- On spectrum gaps of some divergent elliptic operators with periodic coefficients
- Two-scale asymptotics for non-local effects in composites with highly anisotropic fibres
- Homogenization of Differential Operators and Integral Functionals
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: An averaged model of a strongly inhomogeneous medium with memory
- Homogenization of elasticity equations with contrasting coefficients
- Nonhomogeneous Media and Vibration Theory, by Enrique Sanchez‐Palencia
- MULTICOMPONENT HOMOGENIZATION OF PROCESSES IN STRONGLY NONHOMOGENEOUS STRUCTURES
- Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps
- Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization
- Homogenization¶of Non-Uniformly Bounded Operators:¶Critical Barrier for Nonlocal Effects
- Asymptotic analysis for periodic structures
- Homogenization and two-scale convergence
- Torsion Effects in Elastic Composites with High Contrast
- Application of an ARROW model for designing tunable photonic devices.
- Homogenization of spectral problems in bounded domains with doubly high contrasts
- Realizability of metamaterials with prescribed electric permittivity and magnetic permeability tensors
- Inequalities in mechanics and physics
- Spectral properties of periodic media in the large coupling limit
Cited by
- Two-scale homogenization for a class of partially degenerating PDE systems
- Spectral Analysis of One-Dimensional High-Contrast Elliptic Problems with Periodic Coefficients
- Resolvent Estimates for High-Contrast Elliptic Problems with Periodic Coefficients
- HOMOGENIZATION OF THE SYSTEM OF HIGH-CONTRAST MAXWELL EQUATIONS
- Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast
- On band gaps in photonic crystal fibers
- Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media
- Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients
- On photonic band gaps in two-dimensional photonic crystal fibres. Analysis in the vicinity of the low-dielectric light line
- Deposited in DRO : 23 April 2018 Version of attached
- Resolvent estimates for high-contrast elliptic problems with periodic coefficients
Related papers
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- Spectral properties of periodic media in the large coupling limit
- Two-scale homogenization for a class of partially degenerating PDE systems
- Two-scale approach to the homogenization of membrane photonic crystals