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Scattering from infinite rough tubular surfaces

✍ Scribed by Xavier Claeys; Houssem Haddar

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
239 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the Helmholtz equation in the exterior of an infinite perturbed cylinder with a Dirichlet boundary condition. Existence and uniqueness of solutions are established using the variational technique introduced (SIAM J. Math. Anal. 2005; 37(2):598–618). We also provide stability estimates with explicit dependence of the constants in terms of the frequency and the perturbed cylinder thickness. Copyright Β© 2006 John Wiley & Sons, Ltd.

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