Energy distribution of the solutions of elastic wave propagation problems in stratified media $R^{3}$

Abstract

This paper deals with the asymptotic energy distributions for large times of the solutions of elastic wave propagation problems in stratified media $R^{3}$. We construct asymptotic wave functions which approximate the solutions for large times and calculate the asymptotic energy of the solutions using these asymptotic wave functions. In particular, it is shown that the energy of Stoneley wave is asymptotically concentrated along the interface.