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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/w
Subject	Γ-convergence Homogenization; equations in media with periodic structure Asymptotic distribution of eigenvalues and eigenfunctions Eigenvalue problems Variational methods for eigenvalues of operators (should also be assigned at least one other classification number in Section 49) Selfadjoint operator theory in quantum theory, including spectral analysis Spectral analysis dimension reduction periodic homogenization asymptotic expansions
Title	Spectral analysis in a thin domain with periodically oscillating characteristics
Date	2011-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/m/web http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/m/print
related by	http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/authorship/3 http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/authorship/2 http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/authorship/1
Author	Mascarenhas, Luísa M. Ferreira, Rita Piatnitski, A.
Abstract	The paper deals with a Dirichlet spectral problem for an elliptic operator with ε-periodic coefficients in a 3D bounded domain of small thickness δ. We study the asymptotic behavior of the spectrum as ε and δ tend to zero. This asymptotic behavior depends crucially on whether ε and δ are of the same order ( δ ≈ ε), or ε is much less than δ( δ = ετ, τ < 1), or ε is much greater than δ( δ = ετ, τ > 1). We consider all three cases.
article type	research-article
publisher identifier	cocv110005
Date Copyrighted	2011-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2011
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2011/volume_18/issue_2/cocv110005/w/record

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