Eigenvalue Distribution for the Stokes Operator
- The aim of this talk is to show that the methods used by Métivier and Lapidus to study the eigenvalue distribution of elliptic operators (e.g., of the Dirichlet Laplacian) can be adapted to the study of the similar problem for the Stokes operator. In this way we get asymptotic formulae for the eigenvalues of the latter operator even in the case when the underlying domain has an extremely irregularThe aim of this talk is to show that the methods used by Métivier and Lapidus to study the eigenvalue distribution of elliptic operators (e.g., of the Dirichlet Laplacian) can be adapted to the study of the similar problem for the Stokes operator. In this way we get asymptotic formulae for the eigenvalues of the latter operator even in the case when the underlying domain has an extremely irregular (fractal) boundary. In the case the boundary is not that irregular (e.g., when it is Lipschitz) the estimates we obtain are much better than the ones we can find in the current literature.…
Document Type: | Article |
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Author: | A. M. Caetano |
DOI (Cite-Link): | https://doi.org/10.25643/bauhaus-universitaet.500Cite-Link |
URN (Cite-Link): | https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20111215-5005Cite-Link |
Language: | English |
Date of Publication (online): | 2005/03/11 |
Year of first Publication: | 1997 |
Release Date: | 2005/03/11 |
Institutes and partner institutions: | Fakultät Bauingenieurwesen / Professur Informatik im Bauwesen |
GND Keyword: | Stokes-Problem; Eigenwert |
Source: | Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen , IKM , 14 , 1997 , Weimar , Bauhaus-Universität |
Dewey Decimal Classification: | 600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten |
BKL-Classification: | 31 Mathematik / 31.80 Angewandte Mathematik |
56 Bauwesen / 56.03 Methoden im Bauingenieurwesen | |
Licence (German): | In Copyright |