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The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity

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Bibliographic Details
Main Author: Grigori, Rozenblum
Format: Book
Language:English
Published: Springer 2023
Subjects:
Neumann-Poincaré
sequence of eigenvalues converging
Online Access:https://link.springer.com/article/10.1007/s11868-023-00520-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7575
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spelling oai:localhost:PNK-75752023-04-05T07:29:20Z The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity Grigori, Rozenblum Neumann-Poincaré sequence of eigenvalues converging CC BY For the Neumann-Poincaré (double layer potential) operator in the three-dimensional elasticity we establish asymptotic formulas for eigenvalues converging to the points of the essential spectrum and discuss geometric and mechanical meaning of coefficients in these formulas. In particular, we establish that for any body, there are infinitely many eigenvalues converging from above to each point of the essential spectrum. On the other hand, if there is a point where the boundary is concave (in particular, if the body contains cavities) then for each point of the essential spectrum there exists a sequence of eigenvalues converging to this point from below. 2023-04-05T07:29:20Z 2023-04-05T07:29:20Z 2023 Book https://link.springer.com/article/10.1007/s11868-023-00520-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7575 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Neumann-Poincaré
sequence of eigenvalues converging
spellingShingle Neumann-Poincaré
sequence of eigenvalues converging
Grigori, Rozenblum
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
description CC BY
format Book
author Grigori, Rozenblum
author_facet Grigori, Rozenblum
author_sort Grigori, Rozenblum
title The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
title_short The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
title_full The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
title_fullStr The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
title_full_unstemmed The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
title_sort discrete spectrum of the neumann-poincaré operator in 3d elasticity
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11868-023-00520-y
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7575
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score 8.8894005

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