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 -order and the leading term of the scattering cross section is given explicitly.

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Additional Information

DOI:
https://doi.org/10.1090/qam/846156

Article copyright:
© Copyright 1986
American Mathematical Society