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Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
University of Liverpool.
University of Liverpool.
2007 (English)In: Asymptotic Analysis, ISSN 0921-7134, E-ISSN 1875-8576, Vol. 52, no 3-4, 173-206 p.Article in journal (Refereed) Published
Abstract [en]

We present uniform asymptotic approximations of Green's kernels for boundary value problems of elasticity in singularly perturbed domains containing a small hole. We consider the cases of two and three dimensions, for an isotropic Lamé operator and the Dirichlet boundary conditions. The main feature of the asymptotic approximations mentioned is their uniformity with respect to the independent spatial variables. The formal asymptotic formulae are supplied with rigorous derivations and the remainder estimates.

Place, publisher, year, edition, pages
2007. Vol. 52, no 3-4, 173-206 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-40051Local ID: 52191OAI: oai:DiVA.org:liu-40051DiVA: diva2:260900
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13

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Maz´ya, Vladimir G.

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