Unique identification of a multi-layered fluid–solid medium

Boundary Value Problems

Xiliang Li¹  Fenglong Qu²  Yanli Cui² 

[1] School of Mathematics and Information Science, Shandong Technology and Business University;School of Mathematics and Information Sciences, Yantai University;

关键词: Inverse scattering;    Uniqueness;    Fluid–solid interaction;    Multi-layered medium;   

DOI  :  10.1186/s13661-020-01397-2

来源: DOAJ

【 摘 要 】

Abstract This paper is concerned with the inverse scattering of time-harmonic acoustic plane waves by a multi-layered fluid–solid medium in the three dimensional space. We establish the global uniqueness in identifying the embedded penetrable solid obstacle, the surrounding fluid medium and its wave number from the acoustic far-field pattern for all incident plane waves at a fixed frequency. The proof depends on constructing different kinds of interior transmission problems in appropriate small domains and the a priori estimates derived for both the elastic wave fields in the embedded solid obstacle and the acoustic wave fields in the surrounding fluid medium.

【 授权许可】

Unknown