Uniqueness and non-uniqueness in acoustic tomography of moving fluid

Alexey D. Agaltsov; Roman G. Novikov

doi:10.1515/jiip-2015-0051

Uniqueness and non-uniqueness in acoustic tomography of moving fluid

Alexey D. Agaltsov
, Roman G. Novikov

Ecole polytechnique
Moscow State University
IEPT RAS
Moscow Institute of Physics and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in Rd, d £2, with variable sound speed c, density , fluid velocity v and absorption coefficient. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides,we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.

Original language	English
Pages (from-to)	333-340
Number of pages	8
Journal	Journal of Inverse and Ill-Posed Problems
Volume	24
Issue number	3
DOIs	https://doi.org/10.1515/jiip-2015-0051
Publication status	Published - 1 Jun 2016

Keywords

Acoustic tomography
Identifiability and non-identifiability
Inverse boundary value problems
Magnetic Schrödinger equation
Moving fluid

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10.1515/jiip-2015-0051

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title = "Uniqueness and non-uniqueness in acoustic tomography of moving fluid",

abstract = "We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in Rd, d £2, with variable sound speed c, density , fluid velocity v and absorption coefficient. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides,we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.",

keywords = "Acoustic tomography, Identifiability and non-identifiability, Inverse boundary value problems, Magnetic Schr{\"o}dinger equation, Moving fluid",

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AU - Novikov, Roman G.

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N2 - We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in Rd, d £2, with variable sound speed c, density , fluid velocity v and absorption coefficient. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides,we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.

AB - We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in Rd, d £2, with variable sound speed c, density , fluid velocity v and absorption coefficient. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides,we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.

KW - Acoustic tomography

KW - Identifiability and non-identifiability

KW - Inverse boundary value problems

KW - Magnetic Schrödinger equation

KW - Moving fluid

UR - https://www.scopus.com/pages/publications/84973293722

U2 - 10.1515/jiip-2015-0051

DO - 10.1515/jiip-2015-0051

M3 - Article

AN - SCOPUS:84973293722

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SP - 333

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JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

IS - 3

ER -

Uniqueness and non-uniqueness in acoustic tomography of moving fluid

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Keywords

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