Journal article
First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, v 127(6), pp 1263-1299
1997
Abstract
Let λε be a Dirichlet eigenvalue of the ‘periodically, rapidly oscillating’ elliptic operator –∇·(a(x/ε)∇) and let ∇ be a corresponding (simple) eigenvalue of the homogenised operator –∇·(A∇). We characterise the possible limit points of the ratio (λε–λ)/ε as ε→0. Our characterisation is quite explicit when the underlying domain is a (planar) convex, classical polygon with sides of rational or infinite slopes. In particular, in this case it implies that there is often a continuum of such limit points.
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Details
- Title
- First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof
- Creators
- Shari Moskow - Rutgers, The State University of New JerseyMichael Vogelius - Rutgers, The State University of New Jersey
- Publication Details
- Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, v 127(6), pp 1263-1299
- Publisher
- Royal Society of Edinburgh Scotland Foundation
- Number of pages
- 37
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000071422700010
- Scopus ID
- 2-s2.0-33747491187
- Other Identifier
- 991021863137804721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied