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November 2009 On the analysis of the scattering problem for the elastic wave in the case of the transverse incident wave
Yasushi Ota
Proc. Japan Acad. Ser. A Math. Sci. 85(9): 138-142 (November 2009). DOI: 10.3792/pjaa.85.138

Abstract

When we analyze the reflection phenomenon for the elastic wave, the one of the most complicated and interesting problems is to study the mode conversion case. For the elastic wave, there are waves of different modes and a remarkable phenomenon called "mode-conversion'' which causes serious difficulties. In this paper, by considering the non back-scattering case, we examine the singularities of the scattering kernel for the elastic wave equation with transverse incident waves and derive a new result about the singularities of the scattering kernel.

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Yasushi Ota. "On the analysis of the scattering problem for the elastic wave in the case of the transverse incident wave." Proc. Japan Acad. Ser. A Math. Sci. 85 (9) 138 - 142, November 2009. https://doi.org/10.3792/pjaa.85.138

Information

Published: November 2009
First available in Project Euclid: 5 November 2009

zbMATH: 1183.35214
MathSciNet: MR2573963
Digital Object Identifier: 10.3792/pjaa.85.138

Subjects:
Primary: 25L67 , 35C20 , 35P25

Keywords: Elastic equation , mode-conversion , scattering

Rights: Copyright © 2009 The Japan Academy

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Vol.85 • No. 9 • November 2009
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