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Energy behaviour of Rayleigh waves in 3-dimensional half space

Published online by Cambridge University Press:  24 October 2003

MISHIO KAWASHITA  and
WAKAKO KAWASHITA
MISHIO KAWASHITA
Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526 Japan. e-mail: kawasita@math.sci.hiroshima-u.ac.jp
WAKAKO KAWASHITA
Affiliation:
Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739-8521 Japan. e-mail: adt42760@rio.odn.ne.jp
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Abstract

In this paper, we consider the energy behaviour of Rayleigh surface waves in a homogeneous isotropic 3-dimensional half space with free boundary condition. It is known that Rayleigh waves with finite energy are asymptotically concentrated along the boundary. We clarify the domain where the energy of the Rayleigh waves concentrates and obtain the decay order of the energy distributed in the complement of the domain.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 3 , November 2003 , pp. 545 - 563
Copyright
© 2003 Cambridge Philosophical Society

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