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Unique identification of a multi-layered fluid–solid medium
- Source :
- Boundary Value Problems, Vol 2020, Iss 1, Pp 1-12 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
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.
- Subjects :
- Algebra and Number Theory
Partial differential equation
Mathematical analysis
Inverse scattering
Plane wave
lcsh:QA299.6-433
010103 numerical & computational mathematics
Acoustic wave
lcsh:Analysis
Multi-layered medium
01 natural sciences
Three-dimensional space
010101 applied mathematics
Transmission (telecommunications)
Inverse scattering problem
Wavenumber
Fluid–solid interaction
Uniqueness
0101 mathematics
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 16872770
- Volume :
- 2020
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Boundary Value Problems
- Accession number :
- edsair.doi.dedup.....8f8a7fd5cf7fd35da0899fc2ca30135d