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Uniform asymptotic approximations of Green's functions in a long rod

✍ Scribed by V. Maz'ya; A. Movchan

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
160 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Asymptotic approximations for Green's function for the operator βˆ’Ξ” in a long rod are derived. These approximations are uniformly valid over the whole domain including the end regions of the rod. Connections are established between the asymptotic approximations in a long rod and the asymptotics in thin domains. Overview of asymptotic approximations of Green's kernels in a domain with a small hole and domains with singularly perturbed smooth or conical boundaries is also given. Copyright Β© 2008 John Wiley & Sons, Ltd.

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