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Identification of the interface between acoustic and elastic waves from internal measurements
Journal of Inverse and Ill-posed Problems ( IF 0.9 ) Pub Date : 2020-06-01 , DOI: 10.1515/jiip-2018-0101
Yanli Cui 1 , Fenglong Qu 1
Affiliation  

Abstract Consider the fluid-solid interaction problem for a two-layered non-penetrable cavity. We provide a novel fundamental proof for a uniqueness theorem on the determination of the interface between acoustic and elastic waves from many internal measurements, disregarding the boundary conditions imposed on the exterior non-penetrable boundary. The proof depends on a uniform H 1 {H^{1}} -norm boundedness for the elastic wave fields and the construction of the coupled interior transmission problem related to the acoustic and elastic wave fields.

中文翻译:

通过内部测量识别声波和弹性波之间的界面

摘要 考虑两层不可穿透空腔的流固相互作用问题。我们为从许多内部测量确定声波和弹性波之间的界面的唯一性定理提供了一个新颖的基本证明,不考虑施加在外部不可穿透边界上的边界条件。该证明取决于弹性波场的均匀 H 1 {H^{1}} -范数有界性以及与声波场和弹性波场相关的耦合内部传输问题的构造。
更新日期:2020-06-01
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