Elastic scattering problems by penetrable obstacles with embedded objects
Analysis of PDEs
2025-12-04 v1 Mathematical Physics
math.MP
Abstract
This paper considers 3-D elastic scattering problems by penetrable obstacles with embedded objects. The well-posedness of transmission problem is proved by employing integral equation method. Then the Inverse Problems , which is to recover the obstacle by the far-field pattern measurement, is considered. It is shown that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency.
Cite
@article{arxiv.2512.03624,
title = {Elastic scattering problems by penetrable obstacles with embedded objects},
author = {Chun Liu and Jiaqing Yang and Bo Zhang},
journal= {arXiv preprint arXiv:2512.03624},
year = {2025}
}