Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The rigid ellipsoid in the presence of a low frequency elastic wave

Authors: George Dassios and Kiriakie Kiriaki
Journal: Quart. Appl. Math. 43 (1986), 435-456
MSC: Primary 73D25
DOI: https://doi.org/10.1090/qam/846156
MathSciNet review: 846156
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Abstract: A longitudinal, or a transverse, plane elastic wave is incident on a rigid triaxial ellipsoid. The zeroth-order and first-order low-frequency approximations are obtained explicitly at every point exterior to the ellipsoid by solving appropriate exterior boundary value problems of potential theory. The normalized scattering amplitudes are evaluated up to the $ {k^2}$-order and the leading term of the scattering cross section is given explicitly.

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DOI: https://doi.org/10.1090/qam/846156
Article copyright: © Copyright 1986 American Mathematical Society

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