Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-09T14:47:23.754Z Has data issue: false hasContentIssue false

Energy behaviour of Rayleigh waves in 3-dimensional half space

Published online by Cambridge University Press:  24 October 2003

MISHIO KAWASHITA
Affiliation:
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526 Japan. e-mail: [email protected]
WAKAKO KAWASHITA
Affiliation:
Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739-8521 Japan. e-mail: [email protected]

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
Copyright
© 2003 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)