Determining a Multi-layered Fluid-solid Medium from the Acoustic Measurements

作     者：Yan-li CUI Feng-long QU Yan-li CUI;Feng-long QU

作者机构：School of Mathematics and Information SciencesYantai UniversityYantai 264005China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2020年第36卷第1期

页      面：67-73页

核心收录：

学科分类：08[工学] 0804[工学-仪器科学与技术] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11871416,11771349,91730306) Shandong Provincial Natural Science Foundation(Nos.ZR2019MA027,ZR2017MA044) 

主　　题：inverse scattering fluid-solid interaction multi-layered medium uniqueness 

摘      要：Consider the inverse problem of recovering a multi-layered fluid-solid medium from many acoustic measurements corresponding to time-harmonic acoustic plane *** prove that both the supports of the embedded solid obstacle and the surrounding layered fluid medium can be uniquely identified by means of acoustic far-field pattern for all incident wave fields at a fixed *** proof is based on the constructions of some well-posed partial differential equation systems in sufficiently small domains combined with the a priori estimates for the solutions of the forward scattering problem.