[Comportement asymptotique du spectre d'un problème elliptique dans un domaine avec des masses concentrées distribuées de manière aléatoire]
Dans cet article, nous considérons un problème spectral avec une perturbation singulière de la densité située près de la limite du domaine, dépendant d'un petit paramètre. Nous prouvons le théorème de la compacité et étudions le comportement des éléments génériques du problème donné, lorsque le petit paramètre tend vers zéro.
In this paper, we consider a spectral problem with singular perturbation of density located near the boundary of the domain, depending on a small parameter. We prove the compactness theorem and study the behavior of eigenelements to the given problem, as the small parameter tends to zero.
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Publié le :
Mot clés : Masses concentrées, Homogénéisation, Fonctions aléatoires
@article{CRMECA_2017__345_10_671_0,
author = {Gregory A. Chechkin and Tatiana P. Chechkina},
title = {Asymptotic behavior of the spectrum of an elliptic problem in a domain with aperiodically distributed concentrated masses},
journal = {Comptes Rendus. M\'ecanique},
pages = {671--677},
publisher = {Elsevier},
volume = {345},
number = {10},
year = {2017},
doi = {10.1016/j.crme.2017.06.010},
language = {en},
}
TY - JOUR AU - Gregory A. Chechkin AU - Tatiana P. Chechkina TI - Asymptotic behavior of the spectrum of an elliptic problem in a domain with aperiodically distributed concentrated masses JO - Comptes Rendus. Mécanique PY - 2017 SP - 671 EP - 677 VL - 345 IS - 10 PB - Elsevier DO - 10.1016/j.crme.2017.06.010 LA - en ID - CRMECA_2017__345_10_671_0 ER -
%0 Journal Article %A Gregory A. Chechkin %A Tatiana P. Chechkina %T Asymptotic behavior of the spectrum of an elliptic problem in a domain with aperiodically distributed concentrated masses %J Comptes Rendus. Mécanique %D 2017 %P 671-677 %V 345 %N 10 %I Elsevier %R 10.1016/j.crme.2017.06.010 %G en %F CRMECA_2017__345_10_671_0
Gregory A. Chechkin; Tatiana P. Chechkina. Asymptotic behavior of the spectrum of an elliptic problem in a domain with aperiodically distributed concentrated masses. Comptes Rendus. Mécanique, Volume 345 (2017) no. 10, pp. 671-677. doi : 10.1016/j.crme.2017.06.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.06.010/
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☆ The paper was partially supported by RFBR grant 15-01-07920.
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