Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
Analysis of PDEs
2019-05-16 v1
Abstract
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under suitable geometric conditions on the boundary surface of the elastic inclusion, the longitudinal and shear waves can be decoupled. The decoupling result in [8] was derived based on analyzing the local boundary behaviours of the elastic fields. In this article, we provide a different argument from a variational perspective in proving the decoupling result.
Cite
@article{arxiv.1808.03133,
title = {Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective},
author = {Junjiang Lai and Hongyu Liu and Jingni Xiao and Yifeng Xu},
journal= {arXiv preprint arXiv:1808.03133},
year = {2019}
}
Comments
11 pages